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Finding the Fourth Proportional to 12,239.80, 18,346.90 and 6,684.60

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Solution

The fourth proportional to 12,239.80, 18,346.90 and 6,684.60 is: 10,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.80 : 18,346.90 = 6,684.60 : x
  2. Step 2: Convert to fraction form
    12,239.80/18,346.90 = 6,684.60/x
  3. Step 3: Cross multiply
    12,239.80x = 18,346.90 × 6,684.60
  4. Step 4: Simplify right side
    12,239.80x = 122,641,687.74
  5. Step 5: Solve for x
    x = 122,641,687.74/12,239.80
  6. Step 6: Final answer
    x = 10,019.91

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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.