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Finding the Fourth Proportional to 20,697.40, 31,049.52 and 8,217.50

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Solution

The fourth proportional to 20,697.40, 31,049.52 and 8,217.50 is: 12,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.40 : 31,049.52 = 8,217.50 : x
  2. Step 2: Convert to fraction form
    20,697.40/31,049.52 = 8,217.50/x
  3. Step 3: Cross multiply
    20,697.40x = 31,049.52 × 8,217.50
  4. Step 4: Simplify right side
    20,697.40x = 255,149,430.60
  5. Step 5: Solve for x
    x = 255,149,430.60/20,697.40
  6. Step 6: Final answer
    x = 12,327.61

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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.