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Finding the Fourth Proportional to 15,737.12, 23,613.36 and 9,896.48

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Solution

The fourth proportional to 15,737.12, 23,613.36 and 9,896.48 is: 14,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.12 : 23,613.36 = 9,896.48 : x
  2. Step 2: Convert to fraction form
    15,737.12/23,613.36 = 9,896.48/x
  3. Step 3: Cross multiply
    15,737.12x = 23,613.36 × 9,896.48
  4. Step 4: Simplify right side
    15,737.12x = 233,689,144.97
  5. Step 5: Solve for x
    x = 233,689,144.97/15,737.12
  6. Step 6: Final answer
    x = 14,849.55

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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.