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Finding the Fourth Proportional to 12,463.49, 17,189.90 and 7,987.66

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Solution

The fourth proportional to 12,463.49, 17,189.90 and 7,987.66 is: 11,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.49 : 17,189.90 = 7,987.66 : x
  2. Step 2: Convert to fraction form
    12,463.49/17,189.90 = 7,987.66/x
  3. Step 3: Cross multiply
    12,463.49x = 17,189.90 × 7,987.66
  4. Step 4: Simplify right side
    12,463.49x = 137,307,036.70
  5. Step 5: Solve for x
    x = 137,307,036.70/12,463.49
  6. Step 6: Final answer
    x = 11,016.74

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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.