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Finding the Fourth Proportional to 22,736.38, 31,380.56 and 12,800.38

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Solution

The fourth proportional to 22,736.38, 31,380.56 and 12,800.38 is: 17,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,736.38 : 31,380.56 = 12,800.38 : x
  2. Step 2: Convert to fraction form
    22,736.38/31,380.56 = 12,800.38/x
  3. Step 3: Cross multiply
    22,736.38x = 31,380.56 × 12,800.38
  4. Step 4: Simplify right side
    22,736.38x = 401,683,092.61
  5. Step 5: Solve for x
    x = 401,683,092.61/22,736.38
  6. Step 6: Final answer
    x = 17,666.98

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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.