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Finding the Fourth Proportional to 20,818.74, 31,221.60 and 6,964.50

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Solution

The fourth proportional to 20,818.74, 31,221.60 and 6,964.50 is: 10,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.74 : 31,221.60 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    20,818.74/31,221.60 = 6,964.50/x
  3. Step 3: Cross multiply
    20,818.74x = 31,221.60 × 6,964.50
  4. Step 4: Simplify right side
    20,818.74x = 217,442,833.20
  5. Step 5: Solve for x
    x = 217,442,833.20/20,818.74
  6. Step 6: Final answer
    x = 10,444.57

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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.