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Finding the Fourth Proportional to 23,169.84, 31,974.30 and 12,559.38

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Solution

The fourth proportional to 23,169.84, 31,974.30 and 12,559.38 is: 17,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.84 : 31,974.30 = 12,559.38 : x
  2. Step 2: Convert to fraction form
    23,169.84/31,974.30 = 12,559.38/x
  3. Step 3: Cross multiply
    23,169.84x = 31,974.30 × 12,559.38
  4. Step 4: Simplify right side
    23,169.84x = 401,577,383.93
  5. Step 5: Solve for x
    x = 401,577,383.93/23,169.84
  6. Step 6: Final answer
    x = 17,331.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.