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Finding the Fourth Proportional to 17,758.83, 24,516.09 and 11,046.63

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Solution

The fourth proportional to 17,758.83, 24,516.09 and 11,046.63 is: 15,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.83 : 24,516.09 = 11,046.63 : x
  2. Step 2: Convert to fraction form
    17,758.83/24,516.09 = 11,046.63/x
  3. Step 3: Cross multiply
    17,758.83x = 24,516.09 × 11,046.63
  4. Step 4: Simplify right side
    17,758.83x = 270,820,175.28
  5. Step 5: Solve for x
    x = 270,820,175.28/17,758.83
  6. Step 6: Final answer
    x = 15,249.89

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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.