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Finding the Fourth Proportional to 10,678.20, 16,017.30 and 10,167.90

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Solution

The fourth proportional to 10,678.20, 16,017.30 and 10,167.90 is: 15,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.20 : 16,017.30 = 10,167.90 : x
  2. Step 2: Convert to fraction form
    10,678.20/16,017.30 = 10,167.90/x
  3. Step 3: Cross multiply
    10,678.20x = 16,017.30 × 10,167.90
  4. Step 4: Simplify right side
    10,678.20x = 162,862,304.67
  5. Step 5: Solve for x
    x = 162,862,304.67/10,678.20
  6. Step 6: Final answer
    x = 15,251.85

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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.