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Finding the Fourth Proportional to 15,729.71, 21,707.89 and 9,016.45

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Solution

The fourth proportional to 15,729.71, 21,707.89 and 9,016.45 is: 12,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.71 : 21,707.89 = 9,016.45 : x
  2. Step 2: Convert to fraction form
    15,729.71/21,707.89 = 9,016.45/x
  3. Step 3: Cross multiply
    15,729.71x = 21,707.89 × 9,016.45
  4. Step 4: Simplify right side
    15,729.71x = 195,727,951.17
  5. Step 5: Solve for x
    x = 195,727,951.17/15,729.71
  6. Step 6: Final answer
    x = 12,443.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.