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Finding the Fourth Proportional to 23,774.38, 35,660.49 and 8,982.16

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Solution

The fourth proportional to 23,774.38, 35,660.49 and 8,982.16 is: 13,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.38 : 35,660.49 = 8,982.16 : x
  2. Step 2: Convert to fraction form
    23,774.38/35,660.49 = 8,982.16/x
  3. Step 3: Cross multiply
    23,774.38x = 35,660.49 × 8,982.16
  4. Step 4: Simplify right side
    23,774.38x = 320,308,226.86
  5. Step 5: Solve for x
    x = 320,308,226.86/23,774.38
  6. Step 6: Final answer
    x = 13,472.83

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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.