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Finding the Fourth Proportional to 12,786.52, 17,645.52 and 7,121.56

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Solution

The fourth proportional to 12,786.52, 17,645.52 and 7,121.56 is: 9,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.52 : 17,645.52 = 7,121.56 : x
  2. Step 2: Convert to fraction form
    12,786.52/17,645.52 = 7,121.56/x
  3. Step 3: Cross multiply
    12,786.52x = 17,645.52 × 7,121.56
  4. Step 4: Simplify right side
    12,786.52x = 125,663,629.41
  5. Step 5: Solve for x
    x = 125,663,629.41/12,786.52
  6. Step 6: Final answer
    x = 9,827.82

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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.