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Finding the Fourth Proportional to 20,205.66, 27,881.36 and 11,591.40

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Solution

The fourth proportional to 20,205.66, 27,881.36 and 11,591.40 is: 15,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.66 : 27,881.36 = 11,591.40 : x
  2. Step 2: Convert to fraction form
    20,205.66/27,881.36 = 11,591.40/x
  3. Step 3: Cross multiply
    20,205.66x = 27,881.36 × 11,591.40
  4. Step 4: Simplify right side
    20,205.66x = 323,183,938.35
  5. Step 5: Solve for x
    x = 323,183,938.35/20,205.66
  6. Step 6: Final answer
    x = 15,994.72

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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.