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Finding the Fourth Proportional to 21,920, 30,249.84 and 11,984

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Solution

The fourth proportional to 21,920, 30,249.84 and 11,984 is: 16,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920 : 30,249.84 = 11,984 : x
  2. Step 2: Convert to fraction form
    21,920/30,249.84 = 11,984/x
  3. Step 3: Cross multiply
    21,920x = 30,249.84 × 11,984
  4. Step 4: Simplify right side
    21,920x = 362,514,082.56
  5. Step 5: Solve for x
    x = 362,514,082.56/21,920
  6. Step 6: Final answer
    x = 16,538.05

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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.