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Finding the Fourth Proportional to 20,957.30, 31,435.84 and 5,162.30

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Solution

The fourth proportional to 20,957.30, 31,435.84 and 5,162.30 is: 7,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.30 : 31,435.84 = 5,162.30 : x
  2. Step 2: Convert to fraction form
    20,957.30/31,435.84 = 5,162.30/x
  3. Step 3: Cross multiply
    20,957.30x = 31,435.84 × 5,162.30
  4. Step 4: Simplify right side
    20,957.30x = 162,281,236.83
  5. Step 5: Solve for x
    x = 162,281,236.83/20,957.30
  6. Step 6: Final answer
    x = 7,743.42

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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.