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Finding the Fourth Proportional to 19,565.24, 29,321.89 and 10,657.71

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Solution

The fourth proportional to 19,565.24, 29,321.89 and 10,657.71 is: 15,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.24 : 29,321.89 = 10,657.71 : x
  2. Step 2: Convert to fraction form
    19,565.24/29,321.89 = 10,657.71/x
  3. Step 3: Cross multiply
    19,565.24x = 29,321.89 × 10,657.71
  4. Step 4: Simplify right side
    19,565.24x = 312,504,323.55
  5. Step 5: Solve for x
    x = 312,504,323.55/19,565.24
  6. Step 6: Final answer
    x = 15,972.43

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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.