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Finding the Fourth Proportional to 15,506.46, 23,255.49 and 6,739.38

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Solution

The fourth proportional to 15,506.46, 23,255.49 and 6,739.38 is: 10,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.46 : 23,255.49 = 6,739.38 : x
  2. Step 2: Convert to fraction form
    15,506.46/23,255.49 = 6,739.38/x
  3. Step 3: Cross multiply
    15,506.46x = 23,255.49 × 6,739.38
  4. Step 4: Simplify right side
    15,506.46x = 156,727,584.20
  5. Step 5: Solve for x
    x = 156,727,584.20/15,506.46
  6. Step 6: Final answer
    x = 10,107.24

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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.