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Finding the Fourth Proportional to 12,292.14, 18,438.18 and 4,084.14

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Solution

The fourth proportional to 12,292.14, 18,438.18 and 4,084.14 is: 6,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.14 : 18,438.18 = 4,084.14 : x
  2. Step 2: Convert to fraction form
    12,292.14/18,438.18 = 4,084.14/x
  3. Step 3: Cross multiply
    12,292.14x = 18,438.18 × 4,084.14
  4. Step 4: Simplify right side
    12,292.14x = 75,304,108.47
  5. Step 5: Solve for x
    x = 75,304,108.47/12,292.14
  6. Step 6: Final answer
    x = 6,126.20

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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.