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Finding the Fourth Proportional to 13,866.34, 20,801.27 and 5,431.78

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Solution

The fourth proportional to 13,866.34, 20,801.27 and 5,431.78 is: 8,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.34 : 20,801.27 = 5,431.78 : x
  2. Step 2: Convert to fraction form
    13,866.34/20,801.27 = 5,431.78/x
  3. Step 3: Cross multiply
    13,866.34x = 20,801.27 × 5,431.78
  4. Step 4: Simplify right side
    13,866.34x = 112,987,922.36
  5. Step 5: Solve for x
    x = 112,987,922.36/13,866.34
  6. Step 6: Final answer
    x = 8,148.36

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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.