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Finding the Fourth Proportional to 20,972.48, 31,478.49 and 7,658.37

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Solution

The fourth proportional to 20,972.48, 31,478.49 and 7,658.37 is: 11,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.48 : 31,478.49 = 7,658.37 : x
  2. Step 2: Convert to fraction form
    20,972.48/31,478.49 = 7,658.37/x
  3. Step 3: Cross multiply
    20,972.48x = 31,478.49 × 7,658.37
  4. Step 4: Simplify right side
    20,972.48x = 241,073,923.46
  5. Step 5: Solve for x
    x = 241,073,923.46/20,972.48
  6. Step 6: Final answer
    x = 11,494.78

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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.