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Finding the Fourth Proportional to 12,514.71, 18,775.08 and 4,194.78

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Solution

The fourth proportional to 12,514.71, 18,775.08 and 4,194.78 is: 6,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.71 : 18,775.08 = 4,194.78 : x
  2. Step 2: Convert to fraction form
    12,514.71/18,775.08 = 4,194.78/x
  3. Step 3: Cross multiply
    12,514.71x = 18,775.08 × 4,194.78
  4. Step 4: Simplify right side
    12,514.71x = 78,757,330.08
  5. Step 5: Solve for x
    x = 78,757,330.08/12,514.71
  6. Step 6: Final answer
    x = 6,293.18

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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.