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Finding the Fourth Proportional to 24,207.52, 36,317.52 and 7,568.08

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Solution

The fourth proportional to 24,207.52, 36,317.52 and 7,568.08 is: 11,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.52 : 36,317.52 = 7,568.08 : x
  2. Step 2: Convert to fraction form
    24,207.52/36,317.52 = 7,568.08/x
  3. Step 3: Cross multiply
    24,207.52x = 36,317.52 × 7,568.08
  4. Step 4: Simplify right side
    24,207.52x = 274,853,896.76
  5. Step 5: Solve for x
    x = 274,853,896.76/24,207.52
  6. Step 6: Final answer
    x = 11,354.07

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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.