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Finding the Fourth Proportional to 24,201.24, 36,275.94 and 8,391.12

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Solution

The fourth proportional to 24,201.24, 36,275.94 and 8,391.12 is: 12,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.24 : 36,275.94 = 8,391.12 : x
  2. Step 2: Convert to fraction form
    24,201.24/36,275.94 = 8,391.12/x
  3. Step 3: Cross multiply
    24,201.24x = 36,275.94 × 8,391.12
  4. Step 4: Simplify right side
    24,201.24x = 304,395,765.65
  5. Step 5: Solve for x
    x = 304,395,765.65/24,201.24
  6. Step 6: Final answer
    x = 12,577.69

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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.