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Finding the Fourth Proportional to 27,794.91, 38,349.81 and 16,464.63

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Solution

The fourth proportional to 27,794.91, 38,349.81 and 16,464.63 is: 22,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.91 : 38,349.81 = 16,464.63 : x
  2. Step 2: Convert to fraction form
    27,794.91/38,349.81 = 16,464.63/x
  3. Step 3: Cross multiply
    27,794.91x = 38,349.81 × 16,464.63
  4. Step 4: Simplify right side
    27,794.91x = 631,415,432.22
  5. Step 5: Solve for x
    x = 631,415,432.22/27,794.91
  6. Step 6: Final answer
    x = 22,716.94

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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.