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Finding the Fourth Proportional to 12,187.16, 18,278.52 and 3,419.88

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Solution

The fourth proportional to 12,187.16, 18,278.52 and 3,419.88 is: 5,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.16 : 18,278.52 = 3,419.88 : x
  2. Step 2: Convert to fraction form
    12,187.16/18,278.52 = 3,419.88/x
  3. Step 3: Cross multiply
    12,187.16x = 18,278.52 × 3,419.88
  4. Step 4: Simplify right side
    12,187.16x = 62,510,344.98
  5. Step 5: Solve for x
    x = 62,510,344.98/12,187.16
  6. Step 6: Final answer
    x = 5,129.20

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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.