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Finding the Fourth Proportional to 12,138.43, 18,214.70 and 5,118.01

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Solution

The fourth proportional to 12,138.43, 18,214.70 and 5,118.01 is: 7,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.43 : 18,214.70 = 5,118.01 : x
  2. Step 2: Convert to fraction form
    12,138.43/18,214.70 = 5,118.01/x
  3. Step 3: Cross multiply
    12,138.43x = 18,214.70 × 5,118.01
  4. Step 4: Simplify right side
    12,138.43x = 93,223,016.75
  5. Step 5: Solve for x
    x = 93,223,016.75/12,138.43
  6. Step 6: Final answer
    x = 7,679.99

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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.