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Finding the Fourth Proportional to 12,818.24, 17,687.04 and 7,512.56

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Solution

The fourth proportional to 12,818.24, 17,687.04 and 7,512.56 is: 10,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.24 : 17,687.04 = 7,512.56 : x
  2. Step 2: Convert to fraction form
    12,818.24/17,687.04 = 7,512.56/x
  3. Step 3: Cross multiply
    12,818.24x = 17,687.04 × 7,512.56
  4. Step 4: Simplify right side
    12,818.24x = 132,874,949.22
  5. Step 5: Solve for x
    x = 132,874,949.22/12,818.24
  6. Step 6: Final answer
    x = 10,366.08

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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.