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Finding the Fourth Proportional to 16,042.68, 24,040.62 and 9,024.65

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Solution

The fourth proportional to 16,042.68, 24,040.62 and 9,024.65 is: 13,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.68 : 24,040.62 = 9,024.65 : x
  2. Step 2: Convert to fraction form
    16,042.68/24,040.62 = 9,024.65/x
  3. Step 3: Cross multiply
    16,042.68x = 24,040.62 × 9,024.65
  4. Step 4: Simplify right side
    16,042.68x = 216,958,278.04
  5. Step 5: Solve for x
    x = 216,958,278.04/16,042.68
  6. Step 6: Final answer
    x = 13,523.82

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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.