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Finding the Fourth Proportional to 22,249.52, 30,704.32 and 13,866

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Solution

The fourth proportional to 22,249.52, 30,704.32 and 13,866 is: 19,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.52 : 30,704.32 = 13,866 : x
  2. Step 2: Convert to fraction form
    22,249.52/30,704.32 = 13,866/x
  3. Step 3: Cross multiply
    22,249.52x = 30,704.32 × 13,866
  4. Step 4: Simplify right side
    22,249.52x = 425,746,101.12
  5. Step 5: Solve for x
    x = 425,746,101.12/22,249.52
  6. Step 6: Final answer
    x = 19,135.07

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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.