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Finding the Fourth Proportional to 13,858.80, 20,789.82 and 5,091.72

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Solution

The fourth proportional to 13,858.80, 20,789.82 and 5,091.72 is: 7,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.80 : 20,789.82 = 5,091.72 : x
  2. Step 2: Convert to fraction form
    13,858.80/20,789.82 = 5,091.72/x
  3. Step 3: Cross multiply
    13,858.80x = 20,789.82 × 5,091.72
  4. Step 4: Simplify right side
    13,858.80x = 105,855,942.29
  5. Step 5: Solve for x
    x = 105,855,942.29/13,858.80
  6. Step 6: Final answer
    x = 7,638.18

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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.