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Finding the Fourth Proportional to 12,514.68, 18,772.93 and 5,119.28

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Solution

The fourth proportional to 12,514.68, 18,772.93 and 5,119.28 is: 7,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.68 : 18,772.93 = 5,119.28 : x
  2. Step 2: Convert to fraction form
    12,514.68/18,772.93 = 5,119.28/x
  3. Step 3: Cross multiply
    12,514.68x = 18,772.93 × 5,119.28
  4. Step 4: Simplify right side
    12,514.68x = 96,103,885.09
  5. Step 5: Solve for x
    x = 96,103,885.09/12,514.68
  6. Step 6: Final answer
    x = 7,679.29

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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.