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Finding the Fourth Proportional to 13,435.52, 20,125.56 and 7,871.97

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Solution

The fourth proportional to 13,435.52, 20,125.56 and 7,871.97 is: 11,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.52 : 20,125.56 = 7,871.97 : x
  2. Step 2: Convert to fraction form
    13,435.52/20,125.56 = 7,871.97/x
  3. Step 3: Cross multiply
    13,435.52x = 20,125.56 × 7,871.97
  4. Step 4: Simplify right side
    13,435.52x = 158,427,804.55
  5. Step 5: Solve for x
    x = 158,427,804.55/13,435.52
  6. Step 6: Final answer
    x = 11,791.71

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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.