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Finding the Fourth Proportional to 12,161.92, 18,244.80 and 3,952

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Solution

The fourth proportional to 12,161.92, 18,244.80 and 3,952 is: 5,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.92 : 18,244.80 = 3,952 : x
  2. Step 2: Convert to fraction form
    12,161.92/18,244.80 = 3,952/x
  3. Step 3: Cross multiply
    12,161.92x = 18,244.80 × 3,952
  4. Step 4: Simplify right side
    12,161.92x = 72,103,449.60
  5. Step 5: Solve for x
    x = 72,103,449.60/12,161.92
  6. Step 6: Final answer
    x = 5,928.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.