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Finding the Fourth Proportional to 23,174.72, 34,767.20 and 10,856

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Solution

The fourth proportional to 23,174.72, 34,767.20 and 10,856 is: 16,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.72 : 34,767.20 = 10,856 : x
  2. Step 2: Convert to fraction form
    23,174.72/34,767.20 = 10,856/x
  3. Step 3: Cross multiply
    23,174.72x = 34,767.20 × 10,856
  4. Step 4: Simplify right side
    23,174.72x = 377,432,723.20
  5. Step 5: Solve for x
    x = 377,432,723.20/23,174.72
  6. Step 6: Final answer
    x = 16,286.40

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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.