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Finding the Fourth Proportional to 12,202.74, 18,304.89 and 4,304.28

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Solution

The fourth proportional to 12,202.74, 18,304.89 and 4,304.28 is: 6,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.74 : 18,304.89 = 4,304.28 : x
  2. Step 2: Convert to fraction form
    12,202.74/18,304.89 = 4,304.28/x
  3. Step 3: Cross multiply
    12,202.74x = 18,304.89 × 4,304.28
  4. Step 4: Simplify right side
    12,202.74x = 78,789,371.93
  5. Step 5: Solve for x
    x = 78,789,371.93/12,202.74
  6. Step 6: Final answer
    x = 6,456.70

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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.