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Finding the Fourth Proportional to 12,111.59, 18,171 and 3,792.49

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Solution

The fourth proportional to 12,111.59, 18,171 and 3,792.49 is: 5,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.59 : 18,171 = 3,792.49 : x
  2. Step 2: Convert to fraction form
    12,111.59/18,171 = 3,792.49/x
  3. Step 3: Cross multiply
    12,111.59x = 18,171 × 3,792.49
  4. Step 4: Simplify right side
    12,111.59x = 68,913,290.36
  5. Step 5: Solve for x
    x = 68,913,290.36/12,111.59
  6. Step 6: Final answer
    x = 5,689.86

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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.