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Finding the Fourth Proportional to 22,488.14, 33,726.47 and 6,689.62

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Solution

The fourth proportional to 22,488.14, 33,726.47 and 6,689.62 is: 10,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.14 : 33,726.47 = 6,689.62 : x
  2. Step 2: Convert to fraction form
    22,488.14/33,726.47 = 6,689.62/x
  3. Step 3: Cross multiply
    22,488.14x = 33,726.47 × 6,689.62
  4. Step 4: Simplify right side
    22,488.14x = 225,617,200.65
  5. Step 5: Solve for x
    x = 225,617,200.65/22,488.14
  6. Step 6: Final answer
    x = 10,032.72

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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.