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Finding the Fourth Proportional to 17,778.76, 24,536.16 and 10,227.58

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Solution

The fourth proportional to 17,778.76, 24,536.16 and 10,227.58 is: 14,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.76 : 24,536.16 = 10,227.58 : x
  2. Step 2: Convert to fraction form
    17,778.76/24,536.16 = 10,227.58/x
  3. Step 3: Cross multiply
    17,778.76x = 24,536.16 × 10,227.58
  4. Step 4: Simplify right side
    17,778.76x = 250,945,539.29
  5. Step 5: Solve for x
    x = 250,945,539.29/17,778.76
  6. Step 6: Final answer
    x = 14,114.91

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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.