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Finding the Fourth Proportional to 24,406.78, 36,613.68 and 8,613.94

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Solution

The fourth proportional to 24,406.78, 36,613.68 and 8,613.94 is: 12,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.78 : 36,613.68 = 8,613.94 : x
  2. Step 2: Convert to fraction form
    24,406.78/36,613.68 = 8,613.94/x
  3. Step 3: Cross multiply
    24,406.78x = 36,613.68 × 8,613.94
  4. Step 4: Simplify right side
    24,406.78x = 315,388,042.70
  5. Step 5: Solve for x
    x = 315,388,042.70/24,406.78
  6. Step 6: Final answer
    x = 12,922.15

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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.