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Finding the Fourth Proportional to 12,002.14, 17,992.20 and 4,206.70

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Solution

The fourth proportional to 12,002.14, 17,992.20 and 4,206.70 is: 6,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.14 : 17,992.20 = 4,206.70 : x
  2. Step 2: Convert to fraction form
    12,002.14/17,992.20 = 4,206.70/x
  3. Step 3: Cross multiply
    12,002.14x = 17,992.20 × 4,206.70
  4. Step 4: Simplify right side
    12,002.14x = 75,687,787.74
  5. Step 5: Solve for x
    x = 75,687,787.74/12,002.14
  6. Step 6: Final answer
    x = 6,306.19

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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.