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Finding the Fourth Proportional to 11,716.74, 17,556.62 and 9,514.76

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Solution

The fourth proportional to 11,716.74, 17,556.62 and 9,514.76 is: 14,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.74 : 17,556.62 = 9,514.76 : x
  2. Step 2: Convert to fraction form
    11,716.74/17,556.62 = 9,514.76/x
  3. Step 3: Cross multiply
    11,716.74x = 17,556.62 × 9,514.76
  4. Step 4: Simplify right side
    11,716.74x = 167,046,890.35
  5. Step 5: Solve for x
    x = 167,046,890.35/11,716.74
  6. Step 6: Final answer
    x = 14,257.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.