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Finding the Fourth Proportional to 24,097.43, 36,150.20 and 8,301.83

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Solution

The fourth proportional to 24,097.43, 36,150.20 and 8,301.83 is: 12,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.43 : 36,150.20 = 8,301.83 : x
  2. Step 2: Convert to fraction form
    24,097.43/36,150.20 = 8,301.83/x
  3. Step 3: Cross multiply
    24,097.43x = 36,150.20 × 8,301.83
  4. Step 4: Simplify right side
    24,097.43x = 300,112,623.74
  5. Step 5: Solve for x
    x = 300,112,623.74/24,097.43
  6. Step 6: Final answer
    x = 12,454.13

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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.