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Finding the Fourth Proportional to 12,200.59, 18,292.98 and 8,027.96

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Solution

The fourth proportional to 12,200.59, 18,292.98 and 8,027.96 is: 12,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.59 : 18,292.98 = 8,027.96 : x
  2. Step 2: Convert to fraction form
    12,200.59/18,292.98 = 8,027.96/x
  3. Step 3: Cross multiply
    12,200.59x = 18,292.98 × 8,027.96
  4. Step 4: Simplify right side
    12,200.59x = 146,855,311.72
  5. Step 5: Solve for x
    x = 146,855,311.72/12,200.59
  6. Step 6: Final answer
    x = 12,036.74

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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.