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Finding the Fourth Proportional to 24,161.57, 36,251.58 and 9,380.86

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Solution

The fourth proportional to 24,161.57, 36,251.58 and 9,380.86 is: 14,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.57 : 36,251.58 = 9,380.86 : x
  2. Step 2: Convert to fraction form
    24,161.57/36,251.58 = 9,380.86/x
  3. Step 3: Cross multiply
    24,161.57x = 36,251.58 × 9,380.86
  4. Step 4: Simplify right side
    24,161.57x = 340,071,066.07
  5. Step 5: Solve for x
    x = 340,071,066.07/24,161.57
  6. Step 6: Final answer
    x = 14,074.88

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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.