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Finding the Fourth Proportional to 12,200.74, 18,288.65 and 6,924.60

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Solution

The fourth proportional to 12,200.74, 18,288.65 and 6,924.60 is: 10,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.74 : 18,288.65 = 6,924.60 : x
  2. Step 2: Convert to fraction form
    12,200.74/18,288.65 = 6,924.60/x
  3. Step 3: Cross multiply
    12,200.74x = 18,288.65 × 6,924.60
  4. Step 4: Simplify right side
    12,200.74x = 126,641,577.70
  5. Step 5: Solve for x
    x = 126,641,577.70/12,200.74
  6. Step 6: Final answer
    x = 10,379.83

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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.