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Finding the Fourth Proportional to 23,771, 35,628.66 and 8,174.84

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Solution

The fourth proportional to 23,771, 35,628.66 and 8,174.84 is: 12,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771 : 35,628.66 = 8,174.84 : x
  2. Step 2: Convert to fraction form
    23,771/35,628.66 = 8,174.84/x
  3. Step 3: Cross multiply
    23,771x = 35,628.66 × 8,174.84
  4. Step 4: Simplify right side
    23,771x = 291,258,594.91
  5. Step 5: Solve for x
    x = 291,258,594.91/23,771
  6. Step 6: Final answer
    x = 12,252.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.