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Finding the Fourth Proportional to 12,744.09, 17,587.26 and 7,078.91

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Solution

The fourth proportional to 12,744.09, 17,587.26 and 7,078.91 is: 9,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.09 : 17,587.26 = 7,078.91 : x
  2. Step 2: Convert to fraction form
    12,744.09/17,587.26 = 7,078.91/x
  3. Step 3: Cross multiply
    12,744.09x = 17,587.26 × 7,078.91
  4. Step 4: Simplify right side
    12,744.09x = 124,498,542.75
  5. Step 5: Solve for x
    x = 124,498,542.75/12,744.09
  6. Step 6: Final answer
    x = 9,769.12

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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.