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Finding the Fourth Proportional to 24,019.64, 33,149.00 and 13,951.24

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Solution

The fourth proportional to 24,019.64, 33,149.00 and 13,951.24 is: 19,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.64 : 33,149.00 = 13,951.24 : x
  2. Step 2: Convert to fraction form
    24,019.64/33,149.00 = 13,951.24/x
  3. Step 3: Cross multiply
    24,019.64x = 33,149.00 × 13,951.24
  4. Step 4: Simplify right side
    24,019.64x = 462,469,528.29
  5. Step 5: Solve for x
    x = 462,469,528.29/24,019.64
  6. Step 6: Final answer
    x = 19,253.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.