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Finding the Fourth Proportional to 13,642.89, 18,829.78 and 8,540.78

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Solution

The fourth proportional to 13,642.89, 18,829.78 and 8,540.78 is: 11,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.89 : 18,829.78 = 8,540.78 : x
  2. Step 2: Convert to fraction form
    13,642.89/18,829.78 = 8,540.78/x
  3. Step 3: Cross multiply
    13,642.89x = 18,829.78 × 8,540.78
  4. Step 4: Simplify right side
    13,642.89x = 160,820,998.85
  5. Step 5: Solve for x
    x = 160,820,998.85/13,642.89
  6. Step 6: Final answer
    x = 11,787.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.