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Finding the Fourth Proportional to 23,178.24, 34,767 and 5,648.04

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Solution

The fourth proportional to 23,178.24, 34,767 and 5,648.04 is: 8,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.24 : 34,767 = 5,648.04 : x
  2. Step 2: Convert to fraction form
    23,178.24/34,767 = 5,648.04/x
  3. Step 3: Cross multiply
    23,178.24x = 34,767 × 5,648.04
  4. Step 4: Simplify right side
    23,178.24x = 196,365,406.68
  5. Step 5: Solve for x
    x = 196,365,406.68/23,178.24
  6. Step 6: Final answer
    x = 8,471.97

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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.