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Finding the Fourth Proportional to 27,494.99, 37,940.77 and 16,164.86

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Solution

The fourth proportional to 27,494.99, 37,940.77 and 16,164.86 is: 22,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.99 : 37,940.77 = 16,164.86 : x
  2. Step 2: Convert to fraction form
    27,494.99/37,940.77 = 16,164.86/x
  3. Step 3: Cross multiply
    27,494.99x = 37,940.77 × 16,164.86
  4. Step 4: Simplify right side
    27,494.99x = 613,307,235.34
  5. Step 5: Solve for x
    x = 613,307,235.34/27,494.99
  6. Step 6: Final answer
    x = 22,306.15

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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.