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Finding the Fourth Proportional to 13,675.92, 20,512.85 and 4,316.24

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Solution

The fourth proportional to 13,675.92, 20,512.85 and 4,316.24 is: 6,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.92 : 20,512.85 = 4,316.24 : x
  2. Step 2: Convert to fraction form
    13,675.92/20,512.85 = 4,316.24/x
  3. Step 3: Cross multiply
    13,675.92x = 20,512.85 × 4,316.24
  4. Step 4: Simplify right side
    13,675.92x = 88,538,259.54
  5. Step 5: Solve for x
    x = 88,538,259.54/13,675.92
  6. Step 6: Final answer
    x = 6,474.03

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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.