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Finding the Fourth Proportional to 20,545.85, 30,822.97 and 9,295.79

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Solution

The fourth proportional to 20,545.85, 30,822.97 and 9,295.79 is: 13,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.85 : 30,822.97 = 9,295.79 : x
  2. Step 2: Convert to fraction form
    20,545.85/30,822.97 = 9,295.79/x
  3. Step 3: Cross multiply
    20,545.85x = 30,822.97 × 9,295.79
  4. Step 4: Simplify right side
    20,545.85x = 286,523,910.11
  5. Step 5: Solve for x
    x = 286,523,910.11/20,545.85
  6. Step 6: Final answer
    x = 13,945.58

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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.