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Finding the Fourth Proportional to 12,514.75, 18,817.13 and 11,539.48

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Solution

The fourth proportional to 12,514.75, 18,817.13 and 11,539.48 is: 17,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.75 : 18,817.13 = 11,539.48 : x
  2. Step 2: Convert to fraction form
    12,514.75/18,817.13 = 11,539.48/x
  3. Step 3: Cross multiply
    12,514.75x = 18,817.13 × 11,539.48
  4. Step 4: Simplify right side
    12,514.75x = 217,139,895.29
  5. Step 5: Solve for x
    x = 217,139,895.29/12,514.75
  6. Step 6: Final answer
    x = 17,350.72

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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.