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Finding the Fourth Proportional to 22,523.55, 31,084.41 and 13,091.50

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Solution

The fourth proportional to 22,523.55, 31,084.41 and 13,091.50 is: 18,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.55 : 31,084.41 = 13,091.50 : x
  2. Step 2: Convert to fraction form
    22,523.55/31,084.41 = 13,091.50/x
  3. Step 3: Cross multiply
    22,523.55x = 31,084.41 × 13,091.50
  4. Step 4: Simplify right side
    22,523.55x = 406,941,553.52
  5. Step 5: Solve for x
    x = 406,941,553.52/22,523.55
  6. Step 6: Final answer
    x = 18,067.38

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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.