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Finding the Fourth Proportional to 12,462.49, 17,188.52 and 7,986.66

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Solution

The fourth proportional to 12,462.49, 17,188.52 and 7,986.66 is: 11,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.49 : 17,188.52 = 7,986.66 : x
  2. Step 2: Convert to fraction form
    12,462.49/17,188.52 = 7,986.66/x
  3. Step 3: Cross multiply
    12,462.49x = 17,188.52 × 7,986.66
  4. Step 4: Simplify right side
    12,462.49x = 137,278,825.21
  5. Step 5: Solve for x
    x = 137,278,825.21/12,462.49
  6. Step 6: Final answer
    x = 11,015.36

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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.