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Finding the Fourth Proportional to 27,093.88, 40,658.10 and 11,511.51

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Solution

The fourth proportional to 27,093.88, 40,658.10 and 11,511.51 is: 17,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093.88 : 40,658.10 = 11,511.51 : x
  2. Step 2: Convert to fraction form
    27,093.88/40,658.10 = 11,511.51/x
  3. Step 3: Cross multiply
    27,093.88x = 40,658.10 × 11,511.51
  4. Step 4: Simplify right side
    27,093.88x = 468,036,124.73
  5. Step 5: Solve for x
    x = 468,036,124.73/27,093.88
  6. Step 6: Final answer
    x = 17,274.61

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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.