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Finding the Fourth Proportional to 20,940.75, 31,411.17 and 5,358.51

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Solution

The fourth proportional to 20,940.75, 31,411.17 and 5,358.51 is: 8,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.75 : 31,411.17 = 5,358.51 : x
  2. Step 2: Convert to fraction form
    20,940.75/31,411.17 = 5,358.51/x
  3. Step 3: Cross multiply
    20,940.75x = 31,411.17 × 5,358.51
  4. Step 4: Simplify right side
    20,940.75x = 168,317,068.56
  5. Step 5: Solve for x
    x = 168,317,068.56/20,940.75
  6. Step 6: Final answer
    x = 8,037.78

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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.