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Finding the Fourth Proportional to 10,830.92, 16,269.39 and 10,198.91

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Solution

The fourth proportional to 10,830.92, 16,269.39 and 10,198.91 is: 15,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.92 : 16,269.39 = 10,198.91 : x
  2. Step 2: Convert to fraction form
    10,830.92/16,269.39 = 10,198.91/x
  3. Step 3: Cross multiply
    10,830.92x = 16,269.39 × 10,198.91
  4. Step 4: Simplify right side
    10,830.92x = 165,930,085.04
  5. Step 5: Solve for x
    x = 165,930,085.04/10,830.92
  6. Step 6: Final answer
    x = 15,320.04

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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.