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Finding the Fourth Proportional to 16,042.17, 24,065.24 and 5,514.33

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Solution

The fourth proportional to 16,042.17, 24,065.24 and 5,514.33 is: 8,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.17 : 24,065.24 = 5,514.33 : x
  2. Step 2: Convert to fraction form
    16,042.17/24,065.24 = 5,514.33/x
  3. Step 3: Cross multiply
    16,042.17x = 24,065.24 × 5,514.33
  4. Step 4: Simplify right side
    16,042.17x = 132,703,647.32
  5. Step 5: Solve for x
    x = 132,703,647.32/16,042.17
  6. Step 6: Final answer
    x = 8,272.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.