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Finding the Fourth Proportional to 20,359.10, 30,538.71 and 7,211.85

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Solution

The fourth proportional to 20,359.10, 30,538.71 and 7,211.85 is: 10,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359.10 : 30,538.71 = 7,211.85 : x
  2. Step 2: Convert to fraction form
    20,359.10/30,538.71 = 7,211.85/x
  3. Step 3: Cross multiply
    20,359.10x = 30,538.71 × 7,211.85
  4. Step 4: Simplify right side
    20,359.10x = 220,240,595.71
  5. Step 5: Solve for x
    x = 220,240,595.71/20,359.10
  6. Step 6: Final answer
    x = 10,817.80

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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.