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Finding the Fourth Proportional to 12,758.31, 17,605.76 and 7,169.31

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Solution

The fourth proportional to 12,758.31, 17,605.76 and 7,169.31 is: 9,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.31 : 17,605.76 = 7,169.31 : x
  2. Step 2: Convert to fraction form
    12,758.31/17,605.76 = 7,169.31/x
  3. Step 3: Cross multiply
    12,758.31x = 17,605.76 × 7,169.31
  4. Step 4: Simplify right side
    12,758.31x = 126,221,115.38
  5. Step 5: Solve for x
    x = 126,221,115.38/12,758.31
  6. Step 6: Final answer
    x = 9,893.25

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Why These Related Problems?

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