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Finding the Fourth Proportional to 22,689.70, 34,036.18 and 6,049.65

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Solution

The fourth proportional to 22,689.70, 34,036.18 and 6,049.65 is: 9,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.70 : 34,036.18 = 6,049.65 : x
  2. Step 2: Convert to fraction form
    22,689.70/34,036.18 = 6,049.65/x
  3. Step 3: Cross multiply
    22,689.70x = 34,036.18 × 6,049.65
  4. Step 4: Simplify right side
    22,689.70x = 205,906,976.34
  5. Step 5: Solve for x
    x = 205,906,976.34/22,689.70
  6. Step 6: Final answer
    x = 9,074.91

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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.