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Finding the Fourth Proportional to 20,589.43, 30,870.18 and 6,545.25

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Solution

The fourth proportional to 20,589.43, 30,870.18 and 6,545.25 is: 9,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.43 : 30,870.18 = 6,545.25 : x
  2. Step 2: Convert to fraction form
    20,589.43/30,870.18 = 6,545.25/x
  3. Step 3: Cross multiply
    20,589.43x = 30,870.18 × 6,545.25
  4. Step 4: Simplify right side
    20,589.43x = 202,053,045.65
  5. Step 5: Solve for x
    x = 202,053,045.65/20,589.43
  6. Step 6: Final answer
    x = 9,813.44

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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.