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Finding the Fourth Proportional to 12,238.61, 18,364.19 and 5,998.50

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Solution

The fourth proportional to 12,238.61, 18,364.19 and 5,998.50 is: 9,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.61 : 18,364.19 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    12,238.61/18,364.19 = 5,998.50/x
  3. Step 3: Cross multiply
    12,238.61x = 18,364.19 × 5,998.50
  4. Step 4: Simplify right side
    12,238.61x = 110,157,563.72
  5. Step 5: Solve for x
    x = 110,157,563.72/12,238.61
  6. Step 6: Final answer
    x = 9,000.83

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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.