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Finding the Fourth Proportional to 13,863.89, 20,789.65 and 4,000.82

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Solution

The fourth proportional to 13,863.89, 20,789.65 and 4,000.82 is: 5,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.89 : 20,789.65 = 4,000.82 : x
  2. Step 2: Convert to fraction form
    13,863.89/20,789.65 = 4,000.82/x
  3. Step 3: Cross multiply
    13,863.89x = 20,789.65 × 4,000.82
  4. Step 4: Simplify right side
    13,863.89x = 83,175,627.51
  5. Step 5: Solve for x
    x = 83,175,627.51/13,863.89
  6. Step 6: Final answer
    x = 5,999.45

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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.