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Finding the Fourth Proportional to 18,092.94, 27,117.54 and 7,682.82

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Solution

The fourth proportional to 18,092.94, 27,117.54 and 7,682.82 is: 11,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092.94 : 27,117.54 = 7,682.82 : x
  2. Step 2: Convert to fraction form
    18,092.94/27,117.54 = 7,682.82/x
  3. Step 3: Cross multiply
    18,092.94x = 27,117.54 × 7,682.82
  4. Step 4: Simplify right side
    18,092.94x = 208,339,178.66
  5. Step 5: Solve for x
    x = 208,339,178.66/18,092.94
  6. Step 6: Final answer
    x = 11,514.94

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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.