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Finding the Fourth Proportional to 16,747, 25,102.88 and 5,649.80

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Solution

The fourth proportional to 16,747, 25,102.88 and 5,649.80 is: 8,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747 : 25,102.88 = 5,649.80 : x
  2. Step 2: Convert to fraction form
    16,747/25,102.88 = 5,649.80/x
  3. Step 3: Cross multiply
    16,747x = 25,102.88 × 5,649.80
  4. Step 4: Simplify right side
    16,747x = 141,826,251.42
  5. Step 5: Solve for x
    x = 141,826,251.42/16,747
  6. Step 6: Final answer
    x = 8,468.76

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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.