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Finding the Fourth Proportional to 20,709.70, 31,068.60 and 8,863.46

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Solution

The fourth proportional to 20,709.70, 31,068.60 and 8,863.46 is: 13,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.70 : 31,068.60 = 8,863.46 : x
  2. Step 2: Convert to fraction form
    20,709.70/31,068.60 = 8,863.46/x
  3. Step 3: Cross multiply
    20,709.70x = 31,068.60 × 8,863.46
  4. Step 4: Simplify right side
    20,709.70x = 275,375,293.36
  5. Step 5: Solve for x
    x = 275,375,293.36/20,709.70
  6. Step 6: Final answer
    x = 13,296.92

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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.