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Finding the Fourth Proportional to 20,671.67, 31,007.85 and 5,880.97

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Solution

The fourth proportional to 20,671.67, 31,007.85 and 5,880.97 is: 8,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.67 : 31,007.85 = 5,880.97 : x
  2. Step 2: Convert to fraction form
    20,671.67/31,007.85 = 5,880.97/x
  3. Step 3: Cross multiply
    20,671.67x = 31,007.85 × 5,880.97
  4. Step 4: Simplify right side
    20,671.67x = 182,356,158.09
  5. Step 5: Solve for x
    x = 182,356,158.09/20,671.67
  6. Step 6: Final answer
    x = 8,821.55

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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.