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Finding the Fourth Proportional to 19,635.29, 29,471.39 and 10,282.02

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Solution

The fourth proportional to 19,635.29, 29,471.39 and 10,282.02 is: 15,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.29 : 29,471.39 = 10,282.02 : x
  2. Step 2: Convert to fraction form
    19,635.29/29,471.39 = 10,282.02/x
  3. Step 3: Cross multiply
    19,635.29x = 29,471.39 × 10,282.02
  4. Step 4: Simplify right side
    19,635.29x = 303,025,546.83
  5. Step 5: Solve for x
    x = 303,025,546.83/19,635.29
  6. Step 6: Final answer
    x = 15,432.70

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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.