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Finding the Fourth Proportional to 16,747.01, 25,102.97 and 5,649.87

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Solution

The fourth proportional to 16,747.01, 25,102.97 and 5,649.87 is: 8,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747.01 : 25,102.97 = 5,649.87 : x
  2. Step 2: Convert to fraction form
    16,747.01/25,102.97 = 5,649.87/x
  3. Step 3: Cross multiply
    16,747.01x = 25,102.97 × 5,649.87
  4. Step 4: Simplify right side
    16,747.01x = 141,828,517.11
  5. Step 5: Solve for x
    x = 141,828,517.11/16,747.01
  6. Step 6: Final answer
    x = 8,468.89

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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.