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Finding the Fourth Proportional to 24,479, 33,781.02 and 14,543

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Solution

The fourth proportional to 24,479, 33,781.02 and 14,543 is: 20,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,479 : 33,781.02 = 14,543 : x
  2. Step 2: Convert to fraction form
    24,479/33,781.02 = 14,543/x
  3. Step 3: Cross multiply
    24,479x = 33,781.02 × 14,543
  4. Step 4: Simplify right side
    24,479x = 491,277,373.86
  5. Step 5: Solve for x
    x = 491,277,373.86/24,479
  6. Step 6: Final answer
    x = 20,069.34

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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.