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Finding the Fourth Proportional to 16,502.76, 22,770.24 and 10,454.76

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Solution

The fourth proportional to 16,502.76, 22,770.24 and 10,454.76 is: 14,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.76 : 22,770.24 = 10,454.76 : x
  2. Step 2: Convert to fraction form
    16,502.76/22,770.24 = 10,454.76/x
  3. Step 3: Cross multiply
    16,502.76x = 22,770.24 × 10,454.76
  4. Step 4: Simplify right side
    16,502.76x = 238,057,394.34
  5. Step 5: Solve for x
    x = 238,057,394.34/16,502.76
  6. Step 6: Final answer
    x = 14,425.31

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Half scale
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Double scale
Find fourth proportional to 16,503.76, 22,771.62 and 10,455.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.