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Finding the Fourth Proportional to 27,822.72, 38,388.49 and 16,494.87

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Solution

The fourth proportional to 27,822.72, 38,388.49 and 16,494.87 is: 22,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.72 : 38,388.49 = 16,494.87 : x
  2. Step 2: Convert to fraction form
    27,822.72/38,388.49 = 16,494.87/x
  3. Step 3: Cross multiply
    27,822.72x = 38,388.49 × 16,494.87
  4. Step 4: Simplify right side
    27,822.72x = 633,213,152.05
  5. Step 5: Solve for x
    x = 633,213,152.05/27,822.72
  6. Step 6: Final answer
    x = 22,758.85

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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.