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Finding the Fourth Proportional to 25,613.52, 38,424.68 and 7,843.74

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Solution

The fourth proportional to 25,613.52, 38,424.68 and 7,843.74 is: 11,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.52 : 38,424.68 = 7,843.74 : x
  2. Step 2: Convert to fraction form
    25,613.52/38,424.68 = 7,843.74/x
  3. Step 3: Cross multiply
    25,613.52x = 38,424.68 × 7,843.74
  4. Step 4: Simplify right side
    25,613.52x = 301,393,045.61
  5. Step 5: Solve for x
    x = 301,393,045.61/25,613.52
  6. Step 6: Final answer
    x = 11,766.95

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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.