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Finding the Fourth Proportional to 10,606.92, 15,831.01 and 10,431.78

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Solution

The fourth proportional to 10,606.92, 15,831.01 and 10,431.78 is: 15,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.92 : 15,831.01 = 10,431.78 : x
  2. Step 2: Convert to fraction form
    10,606.92/15,831.01 = 10,431.78/x
  3. Step 3: Cross multiply
    10,606.92x = 15,831.01 × 10,431.78
  4. Step 4: Simplify right side
    10,606.92x = 165,145,534.34
  5. Step 5: Solve for x
    x = 165,145,534.34/10,606.92
  6. Step 6: Final answer
    x = 15,569.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.