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Finding the Fourth Proportional to 17,876.66, 24,671.14 and 9,920.39

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Solution

The fourth proportional to 17,876.66, 24,671.14 and 9,920.39 is: 13,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.66 : 24,671.14 = 9,920.39 : x
  2. Step 2: Convert to fraction form
    17,876.66/24,671.14 = 9,920.39/x
  3. Step 3: Cross multiply
    17,876.66x = 24,671.14 × 9,920.39
  4. Step 4: Simplify right side
    17,876.66x = 244,747,182.39
  5. Step 5: Solve for x
    x = 244,747,182.39/17,876.66
  6. Step 6: Final answer
    x = 13,690.88

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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.