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Finding the Fourth Proportional to 15,029.16, 20,737.86 and 9,724.20

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Solution

The fourth proportional to 15,029.16, 20,737.86 and 9,724.20 is: 13,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,029.16 : 20,737.86 = 9,724.20 : x
  2. Step 2: Convert to fraction form
    15,029.16/20,737.86 = 9,724.20/x
  3. Step 3: Cross multiply
    15,029.16x = 20,737.86 × 9,724.20
  4. Step 4: Simplify right side
    15,029.16x = 201,659,098.21
  5. Step 5: Solve for x
    x = 201,659,098.21/15,029.16
  6. Step 6: Final answer
    x = 13,417.86

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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.