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Finding the Fourth Proportional to 12,231.20, 18,339.06 and 5,659.40

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Solution

The fourth proportional to 12,231.20, 18,339.06 and 5,659.40 is: 8,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.20 : 18,339.06 = 5,659.40 : x
  2. Step 2: Convert to fraction form
    12,231.20/18,339.06 = 5,659.40/x
  3. Step 3: Cross multiply
    12,231.20x = 18,339.06 × 5,659.40
  4. Step 4: Simplify right side
    12,231.20x = 103,788,076.16
  5. Step 5: Solve for x
    x = 103,788,076.16/12,231.20
  6. Step 6: Final answer
    x = 8,485.52

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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.