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Finding the Fourth Proportional to 24,380.87, 36,568.06 and 9,585.81

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Solution

The fourth proportional to 24,380.87, 36,568.06 and 9,585.81 is: 14,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.87 : 36,568.06 = 9,585.81 : x
  2. Step 2: Convert to fraction form
    24,380.87/36,568.06 = 9,585.81/x
  3. Step 3: Cross multiply
    24,380.87x = 36,568.06 × 9,585.81
  4. Step 4: Simplify right side
    24,380.87x = 350,534,451.26
  5. Step 5: Solve for x
    x = 350,534,451.26/24,380.87
  6. Step 6: Final answer
    x = 14,377.44

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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.