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Finding the Fourth Proportional to 12,083.67, 18,132.81 and 4,291.89

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Solution

The fourth proportional to 12,083.67, 18,132.81 and 4,291.89 is: 6,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.67 : 18,132.81 = 4,291.89 : x
  2. Step 2: Convert to fraction form
    12,083.67/18,132.81 = 4,291.89/x
  3. Step 3: Cross multiply
    12,083.67x = 18,132.81 × 4,291.89
  4. Step 4: Simplify right side
    12,083.67x = 77,824,025.91
  5. Step 5: Solve for x
    x = 77,824,025.91/12,083.67
  6. Step 6: Final answer
    x = 6,440.43

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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.