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Finding the Fourth Proportional to 12,864.13, 17,753.19 and 7,198.54

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Solution

The fourth proportional to 12,864.13, 17,753.19 and 7,198.54 is: 9,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.13 : 17,753.19 = 7,198.54 : x
  2. Step 2: Convert to fraction form
    12,864.13/17,753.19 = 7,198.54/x
  3. Step 3: Cross multiply
    12,864.13x = 17,753.19 × 7,198.54
  4. Step 4: Simplify right side
    12,864.13x = 127,797,048.34
  5. Step 5: Solve for x
    x = 127,797,048.34/12,864.13
  6. Step 6: Final answer
    x = 9,934.37

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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.