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Finding the Fourth Proportional to 20,545.92, 30,813.48 and 7,395.84

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Solution

The fourth proportional to 20,545.92, 30,813.48 and 7,395.84 is: 11,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.92 : 30,813.48 = 7,395.84 : x
  2. Step 2: Convert to fraction form
    20,545.92/30,813.48 = 7,395.84/x
  3. Step 3: Cross multiply
    20,545.92x = 30,813.48 × 7,395.84
  4. Step 4: Simplify right side
    20,545.92x = 227,891,567.92
  5. Step 5: Solve for x
    x = 227,891,567.92/20,545.92
  6. Step 6: Final answer
    x = 11,091.82

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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.