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Finding the Fourth Proportional to 22,423.30, 33,634.41 and 6,841.06

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Solution

The fourth proportional to 22,423.30, 33,634.41 and 6,841.06 is: 10,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.30 : 33,634.41 = 6,841.06 : x
  2. Step 2: Convert to fraction form
    22,423.30/33,634.41 = 6,841.06/x
  3. Step 3: Cross multiply
    22,423.30x = 33,634.41 × 6,841.06
  4. Step 4: Simplify right side
    22,423.30x = 230,095,016.87
  5. Step 5: Solve for x
    x = 230,095,016.87/22,423.30
  6. Step 6: Final answer
    x = 10,261.43

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