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Finding the Fourth Proportional to 20,697.24, 31,049.84 and 8,214.80

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Solution

The fourth proportional to 20,697.24, 31,049.84 and 8,214.80 is: 12,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.24 : 31,049.84 = 8,214.80 : x
  2. Step 2: Convert to fraction form
    20,697.24/31,049.84 = 8,214.80/x
  3. Step 3: Cross multiply
    20,697.24x = 31,049.84 × 8,214.80
  4. Step 4: Simplify right side
    20,697.24x = 255,068,225.63
  5. Step 5: Solve for x
    x = 255,068,225.63/20,697.24
  6. Step 6: Final answer
    x = 12,323.78

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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.