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Finding the Fourth Proportional to 27,974, 38,604.12 and 15,399.56

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Solution

The fourth proportional to 27,974, 38,604.12 and 15,399.56 is: 21,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974 : 38,604.12 = 15,399.56 : x
  2. Step 2: Convert to fraction form
    27,974/38,604.12 = 15,399.56/x
  3. Step 3: Cross multiply
    27,974x = 38,604.12 × 15,399.56
  4. Step 4: Simplify right side
    27,974x = 594,486,462.19
  5. Step 5: Solve for x
    x = 594,486,462.19/27,974
  6. Step 6: Final answer
    x = 21,251.39

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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.