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Finding the Fourth Proportional to 12,228.10, 18,342.15 and 7,999.90

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Solution

The fourth proportional to 12,228.10, 18,342.15 and 7,999.90 is: 11,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.10 : 18,342.15 = 7,999.90 : x
  2. Step 2: Convert to fraction form
    12,228.10/18,342.15 = 7,999.90/x
  3. Step 3: Cross multiply
    12,228.10x = 18,342.15 × 7,999.90
  4. Step 4: Simplify right side
    12,228.10x = 146,735,365.79
  5. Step 5: Solve for x
    x = 146,735,365.79/12,228.10
  6. Step 6: Final answer
    x = 11,999.85

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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.