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Finding the Fourth Proportional to 20,205.62, 27,884.88 and 12,141.74

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Solution

The fourth proportional to 20,205.62, 27,884.88 and 12,141.74 is: 16,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.62 : 27,884.88 = 12,141.74 : x
  2. Step 2: Convert to fraction form
    20,205.62/27,884.88 = 12,141.74/x
  3. Step 3: Cross multiply
    20,205.62x = 27,884.88 × 12,141.74
  4. Step 4: Simplify right side
    20,205.62x = 338,570,962.89
  5. Step 5: Solve for x
    x = 338,570,962.89/20,205.62
  6. Step 6: Final answer
    x = 16,756.28

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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.