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Finding the Fourth Proportional to 19,633, 27,093.81 and 11,249.50

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Solution

The fourth proportional to 19,633, 27,093.81 and 11,249.50 is: 15,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633 : 27,093.81 = 11,249.50 : x
  2. Step 2: Convert to fraction form
    19,633/27,093.81 = 11,249.50/x
  3. Step 3: Cross multiply
    19,633x = 27,093.81 × 11,249.50
  4. Step 4: Simplify right side
    19,633x = 304,791,815.60
  5. Step 5: Solve for x
    x = 304,791,815.60/19,633
  6. Step 6: Final answer
    x = 15,524.46

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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.