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Finding the Fourth Proportional to 12,202.80, 18,304.20 and 6,358.65

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Solution

The fourth proportional to 12,202.80, 18,304.20 and 6,358.65 is: 9,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.80 : 18,304.20 = 6,358.65 : x
  2. Step 2: Convert to fraction form
    12,202.80/18,304.20 = 6,358.65/x
  3. Step 3: Cross multiply
    12,202.80x = 18,304.20 × 6,358.65
  4. Step 4: Simplify right side
    12,202.80x = 116,390,001.33
  5. Step 5: Solve for x
    x = 116,390,001.33/12,202.80
  6. Step 6: Final answer
    x = 9,537.98

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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.