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Finding the Fourth Proportional to 17,764.11, 24,514.04 and 9,806.27

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Solution

The fourth proportional to 17,764.11, 24,514.04 and 9,806.27 is: 13,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.11 : 24,514.04 = 9,806.27 : x
  2. Step 2: Convert to fraction form
    17,764.11/24,514.04 = 9,806.27/x
  3. Step 3: Cross multiply
    17,764.11x = 24,514.04 × 9,806.27
  4. Step 4: Simplify right side
    17,764.11x = 240,391,196.98
  5. Step 5: Solve for x
    x = 240,391,196.98/17,764.11
  6. Step 6: Final answer
    x = 13,532.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.