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Finding the Fourth Proportional to 19,825.28, 29,737.97 and 6,686.87

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Solution

The fourth proportional to 19,825.28, 29,737.97 and 6,686.87 is: 10,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.28 : 29,737.97 = 6,686.87 : x
  2. Step 2: Convert to fraction form
    19,825.28/29,737.97 = 6,686.87/x
  3. Step 3: Cross multiply
    19,825.28x = 29,737.97 × 6,686.87
  4. Step 4: Simplify right side
    19,825.28x = 198,853,757.33
  5. Step 5: Solve for x
    x = 198,853,757.33/19,825.28
  6. Step 6: Final answer
    x = 10,030.32

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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.