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Finding the Fourth Proportional to 25,537.44, 38,306.10 and 8,007.24

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Solution

The fourth proportional to 25,537.44, 38,306.10 and 8,007.24 is: 12,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.44 : 38,306.10 = 8,007.24 : x
  2. Step 2: Convert to fraction form
    25,537.44/38,306.10 = 8,007.24/x
  3. Step 3: Cross multiply
    25,537.44x = 38,306.10 × 8,007.24
  4. Step 4: Simplify right side
    25,537.44x = 306,726,136.16
  5. Step 5: Solve for x
    x = 306,726,136.16/25,537.44
  6. Step 6: Final answer
    x = 12,010.84

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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.