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Finding the Fourth Proportional to 12,757.76, 17,606.44 and 7,169.12

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Solution

The fourth proportional to 12,757.76, 17,606.44 and 7,169.12 is: 9,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.76 : 17,606.44 = 7,169.12 : x
  2. Step 2: Convert to fraction form
    12,757.76/17,606.44 = 7,169.12/x
  3. Step 3: Cross multiply
    12,757.76x = 17,606.44 × 7,169.12
  4. Step 4: Simplify right side
    12,757.76x = 126,222,681.13
  5. Step 5: Solve for x
    x = 126,222,681.13/12,757.76
  6. Step 6: Final answer
    x = 9,893.80

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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.