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Finding the Fourth Proportional to 22,361.84, 30,859.62 and 12,291.38

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Solution

The fourth proportional to 22,361.84, 30,859.62 and 12,291.38 is: 16,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,361.84 : 30,859.62 = 12,291.38 : x
  2. Step 2: Convert to fraction form
    22,361.84/30,859.62 = 12,291.38/x
  3. Step 3: Cross multiply
    22,361.84x = 30,859.62 × 12,291.38
  4. Step 4: Simplify right side
    22,361.84x = 379,307,316.08
  5. Step 5: Solve for x
    x = 379,307,316.08/22,361.84
  6. Step 6: Final answer
    x = 16,962.26

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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.