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Finding the Fourth Proportional to 22,092.72, 30,514.50 and 16,114.92

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Solution

The fourth proportional to 22,092.72, 30,514.50 and 16,114.92 is: 22,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092.72 : 30,514.50 = 16,114.92 : x
  2. Step 2: Convert to fraction form
    22,092.72/30,514.50 = 16,114.92/x
  3. Step 3: Cross multiply
    22,092.72x = 30,514.50 × 16,114.92
  4. Step 4: Simplify right side
    22,092.72x = 491,738,726.34
  5. Step 5: Solve for x
    x = 491,738,726.34/22,092.72
  6. Step 6: Final answer
    x = 22,257.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.