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Finding the Fourth Proportional to 12,754.24, 17,600.96 and 7,165.76

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Solution

The fourth proportional to 12,754.24, 17,600.96 and 7,165.76 is: 9,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.24 : 17,600.96 = 7,165.76 : x
  2. Step 2: Convert to fraction form
    12,754.24/17,600.96 = 7,165.76/x
  3. Step 3: Cross multiply
    12,754.24x = 17,600.96 × 7,165.76
  4. Step 4: Simplify right side
    12,754.24x = 126,124,255.13
  5. Step 5: Solve for x
    x = 126,124,255.13/12,754.24
  6. Step 6: Final answer
    x = 9,888.81

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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.