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Finding the Fourth Proportional to 16,092, 24,122.88 and 14,649.12

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Solution

The fourth proportional to 16,092, 24,122.88 and 14,649.12 is: 21,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 24,122.88 = 14,649.12 : x
  2. Step 2: Convert to fraction form
    16,092/24,122.88 = 14,649.12/x
  3. Step 3: Cross multiply
    16,092x = 24,122.88 × 14,649.12
  4. Step 4: Simplify right side
    16,092x = 353,378,963.87
  5. Step 5: Solve for x
    x = 353,378,963.87/16,092
  6. Step 6: Final answer
    x = 21,959.92

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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.