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Finding the Fourth Proportional to 20,818.24, 31,237.62 and 9,723.32

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Solution

The fourth proportional to 20,818.24, 31,237.62 and 9,723.32 is: 14,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.24 : 31,237.62 = 9,723.32 : x
  2. Step 2: Convert to fraction form
    20,818.24/31,237.62 = 9,723.32/x
  3. Step 3: Cross multiply
    20,818.24x = 31,237.62 × 9,723.32
  4. Step 4: Simplify right side
    20,818.24x = 303,733,375.30
  5. Step 5: Solve for x
    x = 303,733,375.30/20,818.24
  6. Step 6: Final answer
    x = 14,589.77

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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.