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Finding the Fourth Proportional to 10,882.20, 16,323.30 and 9,586.20

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Solution

The fourth proportional to 10,882.20, 16,323.30 and 9,586.20 is: 14,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.20 : 16,323.30 = 9,586.20 : x
  2. Step 2: Convert to fraction form
    10,882.20/16,323.30 = 9,586.20/x
  3. Step 3: Cross multiply
    10,882.20x = 16,323.30 × 9,586.20
  4. Step 4: Simplify right side
    10,882.20x = 156,478,418.46
  5. Step 5: Solve for x
    x = 156,478,418.46/10,882.20
  6. Step 6: Final answer
    x = 14,379.30

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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.