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Finding the Fourth Proportional to 12,745.27, 17,586.14 and 7,708.78

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Solution

The fourth proportional to 12,745.27, 17,586.14 and 7,708.78 is: 10,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.27 : 17,586.14 = 7,708.78 : x
  2. Step 2: Convert to fraction form
    12,745.27/17,586.14 = 7,708.78/x
  3. Step 3: Cross multiply
    12,745.27x = 17,586.14 × 7,708.78
  4. Step 4: Simplify right side
    12,745.27x = 135,567,645.77
  5. Step 5: Solve for x
    x = 135,567,645.77/12,745.27
  6. Step 6: Final answer
    x = 10,636.70

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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.