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Finding the Fourth Proportional to 25,945.57, 38,923.83 and 8,414.03

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Solution

The fourth proportional to 25,945.57, 38,923.83 and 8,414.03 is: 12,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,945.57 : 38,923.83 = 8,414.03 : x
  2. Step 2: Convert to fraction form
    25,945.57/38,923.83 = 8,414.03/x
  3. Step 3: Cross multiply
    25,945.57x = 38,923.83 × 8,414.03
  4. Step 4: Simplify right side
    25,945.57x = 327,506,231.26
  5. Step 5: Solve for x
    x = 327,506,231.26/25,945.57
  6. Step 6: Final answer
    x = 12,622.82

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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.