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Finding the Fourth Proportional to 24,486, 33,790.68 and 14,550

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Solution

The fourth proportional to 24,486, 33,790.68 and 14,550 is: 20,079

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486 : 33,790.68 = 14,550 : x
  2. Step 2: Convert to fraction form
    24,486/33,790.68 = 14,550/x
  3. Step 3: Cross multiply
    24,486x = 33,790.68 × 14,550
  4. Step 4: Simplify right side
    24,486x = 491,654,394
  5. Step 5: Solve for x
    x = 491,654,394/24,486
  6. Step 6: Final answer
    x = 20,079

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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.