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Finding the Fourth Proportional to 20,545.70, 30,823.17 and 6,506.58

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Solution

The fourth proportional to 20,545.70, 30,823.17 and 6,506.58 is: 9,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.70 : 30,823.17 = 6,506.58 : x
  2. Step 2: Convert to fraction form
    20,545.70/30,823.17 = 6,506.58/x
  3. Step 3: Cross multiply
    20,545.70x = 30,823.17 × 6,506.58
  4. Step 4: Simplify right side
    20,545.70x = 200,553,339.27
  5. Step 5: Solve for x
    x = 200,553,339.27/20,545.70
  6. Step 6: Final answer
    x = 9,761.33

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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.