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Finding the Fourth Proportional to 13,561.34, 20,343.92 and 4,202.15

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Solution

The fourth proportional to 13,561.34, 20,343.92 and 4,202.15 is: 6,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.34 : 20,343.92 = 4,202.15 : x
  2. Step 2: Convert to fraction form
    13,561.34/20,343.92 = 4,202.15/x
  3. Step 3: Cross multiply
    13,561.34x = 20,343.92 × 4,202.15
  4. Step 4: Simplify right side
    13,561.34x = 85,488,080.70
  5. Step 5: Solve for x
    x = 85,488,080.70/13,561.34
  6. Step 6: Final answer
    x = 6,303.81

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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.