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Finding the Fourth Proportional to 24,609.68, 36,913.22 and 7,078.82

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Solution

The fourth proportional to 24,609.68, 36,913.22 and 7,078.82 is: 10,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.68 : 36,913.22 = 7,078.82 : x
  2. Step 2: Convert to fraction form
    24,609.68/36,913.22 = 7,078.82/x
  3. Step 3: Cross multiply
    24,609.68x = 36,913.22 × 7,078.82
  4. Step 4: Simplify right side
    24,609.68x = 261,301,873.13
  5. Step 5: Solve for x
    x = 261,301,873.13/24,609.68
  6. Step 6: Final answer
    x = 10,617.85

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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.