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Finding the Fourth Proportional to 12,326.43, 17,022.90 and 7,852.20

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Solution

The fourth proportional to 12,326.43, 17,022.90 and 7,852.20 is: 10,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.43 : 17,022.90 = 7,852.20 : x
  2. Step 2: Convert to fraction form
    12,326.43/17,022.90 = 7,852.20/x
  3. Step 3: Cross multiply
    12,326.43x = 17,022.90 × 7,852.20
  4. Step 4: Simplify right side
    12,326.43x = 133,667,215.38
  5. Step 5: Solve for x
    x = 133,667,215.38/12,326.43
  6. Step 6: Final answer
    x = 10,843.95

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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.