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Finding the Fourth Proportional to 20,534.20, 30,801.26 and 5,741.26

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Solution

The fourth proportional to 20,534.20, 30,801.26 and 5,741.26 is: 8,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.20 : 30,801.26 = 5,741.26 : x
  2. Step 2: Convert to fraction form
    20,534.20/30,801.26 = 5,741.26/x
  3. Step 3: Cross multiply
    20,534.20x = 30,801.26 × 5,741.26
  4. Step 4: Simplify right side
    20,534.20x = 176,838,041.99
  5. Step 5: Solve for x
    x = 176,838,041.99/20,534.20
  6. Step 6: Final answer
    x = 8,611.88

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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.