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Finding the Fourth Proportional to 27,367.16, 37,764.78 and 16,187

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Solution

The fourth proportional to 27,367.16, 37,764.78 and 16,187 is: 22,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,367.16 : 37,764.78 = 16,187 : x
  2. Step 2: Convert to fraction form
    27,367.16/37,764.78 = 16,187/x
  3. Step 3: Cross multiply
    27,367.16x = 37,764.78 × 16,187
  4. Step 4: Simplify right side
    27,367.16x = 611,298,493.86
  5. Step 5: Solve for x
    x = 611,298,493.86/27,367.16
  6. Step 6: Final answer
    x = 22,336.94

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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.