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Finding the Fourth Proportional to 12,189.58, 18,278.61 and 5,613.82

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Solution

The fourth proportional to 12,189.58, 18,278.61 and 5,613.82 is: 8,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.58 : 18,278.61 = 5,613.82 : x
  2. Step 2: Convert to fraction form
    12,189.58/18,278.61 = 5,613.82/x
  3. Step 3: Cross multiply
    12,189.58x = 18,278.61 × 5,613.82
  4. Step 4: Simplify right side
    12,189.58x = 102,612,826.39
  5. Step 5: Solve for x
    x = 102,612,826.39/12,189.58
  6. Step 6: Final answer
    x = 8,418.08

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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.