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Finding the Fourth Proportional to 22,536, 33,781.32 and 9,395.64

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Solution

The fourth proportional to 22,536, 33,781.32 and 9,395.64 is: 14,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 33,781.32 = 9,395.64 : x
  2. Step 2: Convert to fraction form
    22,536/33,781.32 = 9,395.64/x
  3. Step 3: Cross multiply
    22,536x = 33,781.32 × 9,395.64
  4. Step 4: Simplify right side
    22,536x = 317,397,121.44
  5. Step 5: Solve for x
    x = 317,397,121.44/22,536
  6. Step 6: Final answer
    x = 14,084.00

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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.