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Finding the Fourth Proportional to 20,165.66, 27,824.52 and 11,780.54

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Solution

The fourth proportional to 20,165.66, 27,824.52 and 11,780.54 is: 16,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.66 : 27,824.52 = 11,780.54 : x
  2. Step 2: Convert to fraction form
    20,165.66/27,824.52 = 11,780.54/x
  3. Step 3: Cross multiply
    20,165.66x = 27,824.52 × 11,780.54
  4. Step 4: Simplify right side
    20,165.66x = 327,787,870.84
  5. Step 5: Solve for x
    x = 327,787,870.84/20,165.66
  6. Step 6: Final answer
    x = 16,254.76

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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.