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Finding the Fourth Proportional to 17,763.49, 24,514.41 and 10,212.27

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Solution

The fourth proportional to 17,763.49, 24,514.41 and 10,212.27 is: 14,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.49 : 24,514.41 = 10,212.27 : x
  2. Step 2: Convert to fraction form
    17,763.49/24,514.41 = 10,212.27/x
  3. Step 3: Cross multiply
    17,763.49x = 24,514.41 × 10,212.27
  4. Step 4: Simplify right side
    17,763.49x = 250,347,773.81
  5. Step 5: Solve for x
    x = 250,347,773.81/17,763.49
  6. Step 6: Final answer
    x = 14,093.39

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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.