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Finding the Fourth Proportional to 20,957.54, 31,443.10 and 6,166.54

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Solution

The fourth proportional to 20,957.54, 31,443.10 and 6,166.54 is: 9,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.54 : 31,443.10 = 6,166.54 : x
  2. Step 2: Convert to fraction form
    20,957.54/31,443.10 = 6,166.54/x
  3. Step 3: Cross multiply
    20,957.54x = 31,443.10 × 6,166.54
  4. Step 4: Simplify right side
    20,957.54x = 193,895,039.85
  5. Step 5: Solve for x
    x = 193,895,039.85/20,957.54
  6. Step 6: Final answer
    x = 9,251.80

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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.