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Finding the Fourth Proportional to 20,523.53, 30,780.83 and 5,530.30

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Solution

The fourth proportional to 20,523.53, 30,780.83 and 5,530.30 is: 8,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.53 : 30,780.83 = 5,530.30 : x
  2. Step 2: Convert to fraction form
    20,523.53/30,780.83 = 5,530.30/x
  3. Step 3: Cross multiply
    20,523.53x = 30,780.83 × 5,530.30
  4. Step 4: Simplify right side
    20,523.53x = 170,227,161.02
  5. Step 5: Solve for x
    x = 170,227,161.02/20,523.53
  6. Step 6: Final answer
    x = 8,294.24

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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.