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Finding the Fourth Proportional to 12,127.98, 18,194.17 and 5,012.23

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Solution

The fourth proportional to 12,127.98, 18,194.17 and 5,012.23 is: 7,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.98 : 18,194.17 = 5,012.23 : x
  2. Step 2: Convert to fraction form
    12,127.98/18,194.17 = 5,012.23/x
  3. Step 3: Cross multiply
    12,127.98x = 18,194.17 × 5,012.23
  4. Step 4: Simplify right side
    12,127.98x = 91,193,364.70
  5. Step 5: Solve for x
    x = 91,193,364.70/12,127.98
  6. Step 6: Final answer
    x = 7,519.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.