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Finding the Fourth Proportional to 24,167.80, 33,349.38 and 14,734.48

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Solution

The fourth proportional to 24,167.80, 33,349.38 and 14,734.48 is: 20,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.80 : 33,349.38 = 14,734.48 : x
  2. Step 2: Convert to fraction form
    24,167.80/33,349.38 = 14,734.48/x
  3. Step 3: Cross multiply
    24,167.80x = 33,349.38 × 14,734.48
  4. Step 4: Simplify right side
    24,167.80x = 491,385,772.62
  5. Step 5: Solve for x
    x = 491,385,772.62/24,167.80
  6. Step 6: Final answer
    x = 20,332.25

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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.