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Finding the Fourth Proportional to 20,205.90, 27,880.88 and 11,253.38

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Solution

The fourth proportional to 20,205.90, 27,880.88 and 11,253.38 is: 15,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.90 : 27,880.88 = 11,253.38 : x
  2. Step 2: Convert to fraction form
    20,205.90/27,880.88 = 11,253.38/x
  3. Step 3: Cross multiply
    20,205.90x = 27,880.88 × 11,253.38
  4. Step 4: Simplify right side
    20,205.90x = 313,753,941.70
  5. Step 5: Solve for x
    x = 313,753,941.70/20,205.90
  6. Step 6: Final answer
    x = 15,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.