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Finding the Fourth Proportional to 12,514.62, 17,270.17 and 6,849.37

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Solution

The fourth proportional to 12,514.62, 17,270.17 and 6,849.37 is: 9,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.62 : 17,270.17 = 6,849.37 : x
  2. Step 2: Convert to fraction form
    12,514.62/17,270.17 = 6,849.37/x
  3. Step 3: Cross multiply
    12,514.62x = 17,270.17 × 6,849.37
  4. Step 4: Simplify right side
    12,514.62x = 118,289,784.29
  5. Step 5: Solve for x
    x = 118,289,784.29/12,514.62
  6. Step 6: Final answer
    x = 9,452.13

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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.