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Finding the Fourth Proportional to 22,832, 31,505.04 and 12,759.44

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Solution

The fourth proportional to 22,832, 31,505.04 and 12,759.44 is: 17,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832 : 31,505.04 = 12,759.44 : x
  2. Step 2: Convert to fraction form
    22,832/31,505.04 = 12,759.44/x
  3. Step 3: Cross multiply
    22,832x = 31,505.04 × 12,759.44
  4. Step 4: Simplify right side
    22,832x = 401,986,667.58
  5. Step 5: Solve for x
    x = 401,986,667.58/22,832
  6. Step 6: Final answer
    x = 17,606.28

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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.