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Finding the Fourth Proportional to 12,888.50, 17,786.17 and 7,514.13

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Solution

The fourth proportional to 12,888.50, 17,786.17 and 7,514.13 is: 10,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.50 : 17,786.17 = 7,514.13 : x
  2. Step 2: Convert to fraction form
    12,888.50/17,786.17 = 7,514.13/x
  3. Step 3: Cross multiply
    12,888.50x = 17,786.17 × 7,514.13
  4. Step 4: Simplify right side
    12,888.50x = 133,647,593.58
  5. Step 5: Solve for x
    x = 133,647,593.58/12,888.50
  6. Step 6: Final answer
    x = 10,369.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.