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Finding the Fourth Proportional to 12,340.89, 18,511.32 and 4,132.89

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Solution

The fourth proportional to 12,340.89, 18,511.32 and 4,132.89 is: 6,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.89 : 18,511.32 = 4,132.89 : x
  2. Step 2: Convert to fraction form
    12,340.89/18,511.32 = 4,132.89/x
  3. Step 3: Cross multiply
    12,340.89x = 18,511.32 × 4,132.89
  4. Step 4: Simplify right side
    12,340.89x = 76,505,249.31
  5. Step 5: Solve for x
    x = 76,505,249.31/12,340.89
  6. Step 6: Final answer
    x = 6,199.33

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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.