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Finding the Fourth Proportional to 15,915.18, 23,872.77 and 7,149.42

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Solution

The fourth proportional to 15,915.18, 23,872.77 and 7,149.42 is: 10,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.18 : 23,872.77 = 7,149.42 : x
  2. Step 2: Convert to fraction form
    15,915.18/23,872.77 = 7,149.42/x
  3. Step 3: Cross multiply
    15,915.18x = 23,872.77 × 7,149.42
  4. Step 4: Simplify right side
    15,915.18x = 170,676,459.29
  5. Step 5: Solve for x
    x = 170,676,459.29/15,915.18
  6. Step 6: Final answer
    x = 10,724.13

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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.