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Finding the Fourth Proportional to 24,124.80, 33,301.44 and 23,458.96

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Solution

The fourth proportional to 24,124.80, 33,301.44 and 23,458.96 is: 32,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.80 : 33,301.44 = 23,458.96 : x
  2. Step 2: Convert to fraction form
    24,124.80/33,301.44 = 23,458.96/x
  3. Step 3: Cross multiply
    24,124.80x = 33,301.44 × 23,458.96
  4. Step 4: Simplify right side
    24,124.80x = 781,217,148.90
  5. Step 5: Solve for x
    x = 781,217,148.90/24,124.80
  6. Step 6: Final answer
    x = 32,382.33

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Why These Related Problems?

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