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Finding the Fourth Proportional to 16,525, 24,791.42 and 5,581

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Solution

The fourth proportional to 16,525, 24,791.42 and 5,581 is: 8,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525 : 24,791.42 = 5,581 : x
  2. Step 2: Convert to fraction form
    16,525/24,791.42 = 5,581/x
  3. Step 3: Cross multiply
    16,525x = 24,791.42 × 5,581
  4. Step 4: Simplify right side
    16,525x = 138,360,915.02
  5. Step 5: Solve for x
    x = 138,360,915.02/16,525
  6. Step 6: Final answer
    x = 8,372.82

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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.