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Finding the Fourth Proportional to 22,001, 30,361.38 and 12,065

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Solution

The fourth proportional to 22,001, 30,361.38 and 12,065 is: 16,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001 : 30,361.38 = 12,065 : x
  2. Step 2: Convert to fraction form
    22,001/30,361.38 = 12,065/x
  3. Step 3: Cross multiply
    22,001x = 30,361.38 × 12,065
  4. Step 4: Simplify right side
    22,001x = 366,310,049.70
  5. Step 5: Solve for x
    x = 366,310,049.70/22,001
  6. Step 6: Final answer
    x = 16,649.70

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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.