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Finding the Fourth Proportional to 12,138.56, 18,214.90 and 5,118.14

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Solution

The fourth proportional to 12,138.56, 18,214.90 and 5,118.14 is: 7,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.56 : 18,214.90 = 5,118.14 : x
  2. Step 2: Convert to fraction form
    12,138.56/18,214.90 = 5,118.14/x
  3. Step 3: Cross multiply
    12,138.56x = 18,214.90 × 5,118.14
  4. Step 4: Simplify right side
    12,138.56x = 93,226,304.42
  5. Step 5: Solve for x
    x = 93,226,304.42/12,138.56
  6. Step 6: Final answer
    x = 7,680.18

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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.