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Finding the Fourth Proportional to 15,760.49, 23,640.12 and 3,914.28

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Solution

The fourth proportional to 15,760.49, 23,640.12 and 3,914.28 is: 5,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.49 : 23,640.12 = 3,914.28 : x
  2. Step 2: Convert to fraction form
    15,760.49/23,640.12 = 3,914.28/x
  3. Step 3: Cross multiply
    15,760.49x = 23,640.12 × 3,914.28
  4. Step 4: Simplify right side
    15,760.49x = 92,534,048.91
  5. Step 5: Solve for x
    x = 92,534,048.91/15,760.49
  6. Step 6: Final answer
    x = 5,871.27

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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.