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Finding the Fourth Proportional to 24,613.12, 36,915.68 and 7,078.96

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Solution

The fourth proportional to 24,613.12, 36,915.68 and 7,078.96 is: 10,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613.12 : 36,915.68 = 7,078.96 : x
  2. Step 2: Convert to fraction form
    24,613.12/36,915.68 = 7,078.96/x
  3. Step 3: Cross multiply
    24,613.12x = 36,915.68 × 7,078.96
  4. Step 4: Simplify right side
    24,613.12x = 261,324,622.09
  5. Step 5: Solve for x
    x = 261,324,622.09/24,613.12
  6. Step 6: Final answer
    x = 10,617.29

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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.