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Finding the Fourth Proportional to 16,771, 25,160.39 and 4,924.30

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Solution

The fourth proportional to 16,771, 25,160.39 and 4,924.30 is: 7,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771 : 25,160.39 = 4,924.30 : x
  2. Step 2: Convert to fraction form
    16,771/25,160.39 = 4,924.30/x
  3. Step 3: Cross multiply
    16,771x = 25,160.39 × 4,924.30
  4. Step 4: Simplify right side
    16,771x = 123,897,308.48
  5. Step 5: Solve for x
    x = 123,897,308.48/16,771
  6. Step 6: Final answer
    x = 7,387.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.