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Finding the Fourth Proportional to 25,837.72, 38,753.84 and 8,306.18

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Solution

The fourth proportional to 25,837.72, 38,753.84 and 8,306.18 is: 12,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.72 : 38,753.84 = 8,306.18 : x
  2. Step 2: Convert to fraction form
    25,837.72/38,753.84 = 8,306.18/x
  3. Step 3: Cross multiply
    25,837.72x = 38,753.84 × 8,306.18
  4. Step 4: Simplify right side
    25,837.72x = 321,896,343.05
  5. Step 5: Solve for x
    x = 321,896,343.05/25,837.72
  6. Step 6: Final answer
    x = 12,458.39

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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.