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Finding the Fourth Proportional to 25,841.80, 38,760.54 and 8,306.92

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Solution

The fourth proportional to 25,841.80, 38,760.54 and 8,306.92 is: 12,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.80 : 38,760.54 = 8,306.92 : x
  2. Step 2: Convert to fraction form
    25,841.80/38,760.54 = 8,306.92/x
  3. Step 3: Cross multiply
    25,841.80x = 38,760.54 × 8,306.92
  4. Step 4: Simplify right side
    25,841.80x = 321,980,704.94
  5. Step 5: Solve for x
    x = 321,980,704.94/25,841.80
  6. Step 6: Final answer
    x = 12,459.69

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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.