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Finding the Fourth Proportional to 12,199.32, 18,281.52 and 6,640.56

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Solution

The fourth proportional to 12,199.32, 18,281.52 and 6,640.56 is: 9,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.32 : 18,281.52 = 6,640.56 : x
  2. Step 2: Convert to fraction form
    12,199.32/18,281.52 = 6,640.56/x
  3. Step 3: Cross multiply
    12,199.32x = 18,281.52 × 6,640.56
  4. Step 4: Simplify right side
    12,199.32x = 121,399,530.45
  5. Step 5: Solve for x
    x = 121,399,530.45/12,199.32
  6. Step 6: Final answer
    x = 9,951.34

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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.