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Finding the Fourth Proportional to 20,957.92, 31,441.86 and 6,167.32

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Solution

The fourth proportional to 20,957.92, 31,441.86 and 6,167.32 is: 9,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.92 : 31,441.86 = 6,167.32 : x
  2. Step 2: Convert to fraction form
    20,957.92/31,441.86 = 6,167.32/x
  3. Step 3: Cross multiply
    20,957.92x = 31,441.86 × 6,167.32
  4. Step 4: Simplify right side
    20,957.92x = 193,912,012.02
  5. Step 5: Solve for x
    x = 193,912,012.02/20,957.92
  6. Step 6: Final answer
    x = 9,252.45

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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.