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Finding the Fourth Proportional to 16,906.76, 23,331.20 and 9,454.76

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Solution

The fourth proportional to 16,906.76, 23,331.20 and 9,454.76 is: 13,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.76 : 23,331.20 = 9,454.76 : x
  2. Step 2: Convert to fraction form
    16,906.76/23,331.20 = 9,454.76/x
  3. Step 3: Cross multiply
    16,906.76x = 23,331.20 × 9,454.76
  4. Step 4: Simplify right side
    16,906.76x = 220,590,732.58
  5. Step 5: Solve for x
    x = 220,590,732.58/16,906.76
  6. Step 6: Final answer
    x = 13,047.49

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Half scale
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Double scale
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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.