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Finding the Fourth Proportional to 22,936.91, 31,651.29 and 12,728.48

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Solution

The fourth proportional to 22,936.91, 31,651.29 and 12,728.48 is: 17,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.91 : 31,651.29 = 12,728.48 : x
  2. Step 2: Convert to fraction form
    22,936.91/31,651.29 = 12,728.48/x
  3. Step 3: Cross multiply
    22,936.91x = 31,651.29 × 12,728.48
  4. Step 4: Simplify right side
    22,936.91x = 402,872,653.48
  5. Step 5: Solve for x
    x = 402,872,653.48/22,936.91
  6. Step 6: Final answer
    x = 17,564.39

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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.