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Finding the Fourth Proportional to 27,819.81, 38,391.36 and 16,494.84

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Solution

The fourth proportional to 27,819.81, 38,391.36 and 16,494.84 is: 22,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.81 : 38,391.36 = 16,494.84 : x
  2. Step 2: Convert to fraction form
    27,819.81/38,391.36 = 16,494.84/x
  3. Step 3: Cross multiply
    27,819.81x = 38,391.36 × 16,494.84
  4. Step 4: Simplify right side
    27,819.81x = 633,259,340.58
  5. Step 5: Solve for x
    x = 633,259,340.58/27,819.81
  6. Step 6: Final answer
    x = 22,762.89

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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.