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Finding the Fourth Proportional to 20,159.84, 27,811.60 and 11,772.64

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Solution

The fourth proportional to 20,159.84, 27,811.60 and 11,772.64 is: 16,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.84 : 27,811.60 = 11,772.64 : x
  2. Step 2: Convert to fraction form
    20,159.84/27,811.60 = 11,772.64/x
  3. Step 3: Cross multiply
    20,159.84x = 27,811.60 × 11,772.64
  4. Step 4: Simplify right side
    20,159.84x = 327,415,954.62
  5. Step 5: Solve for x
    x = 327,415,954.62/20,159.84
  6. Step 6: Final answer
    x = 16,241.00

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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.