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Finding the Fourth Proportional to 24,494.82, 36,730.86 and 7,851.12

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Solution

The fourth proportional to 24,494.82, 36,730.86 and 7,851.12 is: 11,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.82 : 36,730.86 = 7,851.12 : x
  2. Step 2: Convert to fraction form
    24,494.82/36,730.86 = 7,851.12/x
  3. Step 3: Cross multiply
    24,494.82x = 36,730.86 × 7,851.12
  4. Step 4: Simplify right side
    24,494.82x = 288,378,389.56
  5. Step 5: Solve for x
    x = 288,378,389.56/24,494.82
  6. Step 6: Final answer
    x = 11,773.04

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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.