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Finding the Fourth Proportional to 22,634.55, 33,952.26 and 7,843.95

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Solution

The fourth proportional to 22,634.55, 33,952.26 and 7,843.95 is: 11,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.55 : 33,952.26 = 7,843.95 : x
  2. Step 2: Convert to fraction form
    22,634.55/33,952.26 = 7,843.95/x
  3. Step 3: Cross multiply
    22,634.55x = 33,952.26 × 7,843.95
  4. Step 4: Simplify right side
    22,634.55x = 266,319,829.83
  5. Step 5: Solve for x
    x = 266,319,829.83/22,634.55
  6. Step 6: Final answer
    x = 11,766.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.