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Finding the Fourth Proportional to 13,461.82, 20,191.19 and 3,601.87

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Solution

The fourth proportional to 13,461.82, 20,191.19 and 3,601.87 is: 5,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.82 : 20,191.19 = 3,601.87 : x
  2. Step 2: Convert to fraction form
    13,461.82/20,191.19 = 3,601.87/x
  3. Step 3: Cross multiply
    13,461.82x = 20,191.19 × 3,601.87
  4. Step 4: Simplify right side
    13,461.82x = 72,725,973.04
  5. Step 5: Solve for x
    x = 72,725,973.04/13,461.82
  6. Step 6: Final answer
    x = 5,402.39

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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.