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Finding the Fourth Proportional to 11,514.58, 17,249.60 and 9,643.48

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Solution

The fourth proportional to 11,514.58, 17,249.60 and 9,643.48 is: 14,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.58 : 17,249.60 = 9,643.48 : x
  2. Step 2: Convert to fraction form
    11,514.58/17,249.60 = 9,643.48/x
  3. Step 3: Cross multiply
    11,514.58x = 17,249.60 × 9,643.48
  4. Step 4: Simplify right side
    11,514.58x = 166,346,172.61
  5. Step 5: Solve for x
    x = 166,346,172.61/11,514.58
  6. Step 6: Final answer
    x = 14,446.57

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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.