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Finding the Fourth Proportional to 12,101.20, 18,151.80 and 8,342.80

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Solution

The fourth proportional to 12,101.20, 18,151.80 and 8,342.80 is: 12,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.20 : 18,151.80 = 8,342.80 : x
  2. Step 2: Convert to fraction form
    12,101.20/18,151.80 = 8,342.80/x
  3. Step 3: Cross multiply
    12,101.20x = 18,151.80 × 8,342.80
  4. Step 4: Simplify right side
    12,101.20x = 151,436,837.04
  5. Step 5: Solve for x
    x = 151,436,837.04/12,101.20
  6. Step 6: Final answer
    x = 12,514.20

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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.