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Finding the Fourth Proportional to 11,910.78, 17,846.73 and 11,455.74

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Solution

The fourth proportional to 11,910.78, 17,846.73 and 11,455.74 is: 17,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.78 : 17,846.73 = 11,455.74 : x
  2. Step 2: Convert to fraction form
    11,910.78/17,846.73 = 11,455.74/x
  3. Step 3: Cross multiply
    11,910.78x = 17,846.73 × 11,455.74
  4. Step 4: Simplify right side
    11,910.78x = 204,447,498.73
  5. Step 5: Solve for x
    x = 204,447,498.73/11,910.78
  6. Step 6: Final answer
    x = 17,164.91

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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.