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Finding the Fourth Proportional to 24,098.64, 36,120.24 and 9,301.02

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Solution

The fourth proportional to 24,098.64, 36,120.24 and 9,301.02 is: 13,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.64 : 36,120.24 = 9,301.02 : x
  2. Step 2: Convert to fraction form
    24,098.64/36,120.24 = 9,301.02/x
  3. Step 3: Cross multiply
    24,098.64x = 36,120.24 × 9,301.02
  4. Step 4: Simplify right side
    24,098.64x = 335,955,074.64
  5. Step 5: Solve for x
    x = 335,955,074.64/24,098.64
  6. Step 6: Final answer
    x = 13,940.83

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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.