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Finding the Fourth Proportional to 12,514.56, 17,270.08 and 6,849.30

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Solution

The fourth proportional to 12,514.56, 17,270.08 and 6,849.30 is: 9,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.56 : 17,270.08 = 6,849.30 : x
  2. Step 2: Convert to fraction form
    12,514.56/17,270.08 = 6,849.30/x
  3. Step 3: Cross multiply
    12,514.56x = 17,270.08 × 6,849.30
  4. Step 4: Simplify right side
    12,514.56x = 118,287,958.94
  5. Step 5: Solve for x
    x = 118,287,958.94/12,514.56
  6. Step 6: Final answer
    x = 9,452.03

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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.