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Finding the Fourth Proportional to 13,462.17, 20,191.67 and 3,602.22

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Solution

The fourth proportional to 13,462.17, 20,191.67 and 3,602.22 is: 5,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.17 : 20,191.67 = 3,602.22 : x
  2. Step 2: Convert to fraction form
    13,462.17/20,191.67 = 3,602.22/x
  3. Step 3: Cross multiply
    13,462.17x = 20,191.67 × 3,602.22
  4. Step 4: Simplify right side
    13,462.17x = 72,734,819.50
  5. Step 5: Solve for x
    x = 72,734,819.50/13,462.17
  6. Step 6: Final answer
    x = 5,402.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.