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Finding the Fourth Proportional to 20,689.92, 31,035.06 and 5,107.68

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Solution

The fourth proportional to 20,689.92, 31,035.06 and 5,107.68 is: 7,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.92 : 31,035.06 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    20,689.92/31,035.06 = 5,107.68/x
  3. Step 3: Cross multiply
    20,689.92x = 31,035.06 × 5,107.68
  4. Step 4: Simplify right side
    20,689.92x = 158,517,155.26
  5. Step 5: Solve for x
    x = 158,517,155.26/20,689.92
  6. Step 6: Final answer
    x = 7,661.56

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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.