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Finding the Fourth Proportional to 19,974, 29,961 and 5,382

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Solution

The fourth proportional to 19,974, 29,961 and 5,382 is: 8,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 29,961 = 5,382 : x
  2. Step 2: Convert to fraction form
    19,974/29,961 = 5,382/x
  3. Step 3: Cross multiply
    19,974x = 29,961 × 5,382
  4. Step 4: Simplify right side
    19,974x = 161,250,102
  5. Step 5: Solve for x
    x = 161,250,102/19,974
  6. Step 6: Final answer
    x = 8,073

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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.