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Finding the Fourth Proportional to 12,138.76, 18,221.10 and 5,218.12

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Solution

The fourth proportional to 12,138.76, 18,221.10 and 5,218.12 is: 7,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.76 : 18,221.10 = 5,218.12 : x
  2. Step 2: Convert to fraction form
    12,138.76/18,221.10 = 5,218.12/x
  3. Step 3: Cross multiply
    12,138.76x = 18,221.10 × 5,218.12
  4. Step 4: Simplify right side
    12,138.76x = 95,079,886.33
  5. Step 5: Solve for x
    x = 95,079,886.33/12,138.76
  6. Step 6: Final answer
    x = 7,832.75

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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.