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Finding the Fourth Proportional to 24,472.78, 36,709.16 and 6,942.76

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Solution

The fourth proportional to 24,472.78, 36,709.16 and 6,942.76 is: 10,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.78 : 36,709.16 = 6,942.76 : x
  2. Step 2: Convert to fraction form
    24,472.78/36,709.16 = 6,942.76/x
  3. Step 3: Cross multiply
    24,472.78x = 36,709.16 × 6,942.76
  4. Step 4: Simplify right side
    24,472.78x = 254,862,887.68
  5. Step 5: Solve for x
    x = 254,862,887.68/24,472.78
  6. Step 6: Final answer
    x = 10,414.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.