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Finding the Fourth Proportional to 12,514.65, 18,781.22 and 10,078.87

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Solution

The fourth proportional to 12,514.65, 18,781.22 and 10,078.87 is: 15,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.65 : 18,781.22 = 10,078.87 : x
  2. Step 2: Convert to fraction form
    12,514.65/18,781.22 = 10,078.87/x
  3. Step 3: Cross multiply
    12,514.65x = 18,781.22 × 10,078.87
  4. Step 4: Simplify right side
    12,514.65x = 189,293,330.52
  5. Step 5: Solve for x
    x = 189,293,330.52/12,514.65
  6. Step 6: Final answer
    x = 15,125.75

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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.