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Finding the Fourth Proportional to 17,853.38, 24,634.77 and 11,137.94

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Solution

The fourth proportional to 17,853.38, 24,634.77 and 11,137.94 is: 15,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.38 : 24,634.77 = 11,137.94 : x
  2. Step 2: Convert to fraction form
    17,853.38/24,634.77 = 11,137.94/x
  3. Step 3: Cross multiply
    17,853.38x = 24,634.77 × 11,137.94
  4. Step 4: Simplify right side
    17,853.38x = 274,380,590.17
  5. Step 5: Solve for x
    x = 274,380,590.17/17,853.38
  6. Step 6: Final answer
    x = 15,368.55

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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.