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Finding the Fourth Proportional to 12,781.71, 19,117.89 and 10,660.32

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Solution

The fourth proportional to 12,781.71, 19,117.89 and 10,660.32 is: 15,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.71 : 19,117.89 = 10,660.32 : x
  2. Step 2: Convert to fraction form
    12,781.71/19,117.89 = 10,660.32/x
  3. Step 3: Cross multiply
    12,781.71x = 19,117.89 × 10,660.32
  4. Step 4: Simplify right side
    12,781.71x = 203,802,825.12
  5. Step 5: Solve for x
    x = 203,802,825.12/12,781.71
  6. Step 6: Final answer
    x = 15,944.88

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