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Finding the Fourth Proportional to 22,361.16, 33,542 and 9,708

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Solution

The fourth proportional to 22,361.16, 33,542 and 9,708 is: 14,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,361.16 : 33,542 = 9,708 : x
  2. Step 2: Convert to fraction form
    22,361.16/33,542 = 9,708/x
  3. Step 3: Cross multiply
    22,361.16x = 33,542 × 9,708
  4. Step 4: Simplify right side
    22,361.16x = 325,625,736
  5. Step 5: Solve for x
    x = 325,625,736/22,361.16
  6. Step 6: Final answer
    x = 14,562.11

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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.