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Finding the Fourth Proportional to 16,315.25, 22,514.24 and 9,144.29

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Solution

The fourth proportional to 16,315.25, 22,514.24 and 9,144.29 is: 12,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.25 : 22,514.24 = 9,144.29 : x
  2. Step 2: Convert to fraction form
    16,315.25/22,514.24 = 9,144.29/x
  3. Step 3: Cross multiply
    16,315.25x = 22,514.24 × 9,144.29
  4. Step 4: Simplify right side
    16,315.25x = 205,876,818.84
  5. Step 5: Solve for x
    x = 205,876,818.84/16,315.25
  6. Step 6: Final answer
    x = 12,618.68

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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.