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Finding the Fourth Proportional to 19,776.33, 27,291.33 and 10,823.83

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Solution

The fourth proportional to 19,776.33, 27,291.33 and 10,823.83 is: 14,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.33 : 27,291.33 = 10,823.83 : x
  2. Step 2: Convert to fraction form
    19,776.33/27,291.33 = 10,823.83/x
  3. Step 3: Cross multiply
    19,776.33x = 27,291.33 × 10,823.83
  4. Step 4: Simplify right side
    19,776.33x = 295,396,716.39
  5. Step 5: Solve for x
    x = 295,396,716.39/19,776.33
  6. Step 6: Final answer
    x = 14,936.88

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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.