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Finding the Fourth Proportional to 20,200.68, 27,877.80 and 11,247.84

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Solution

The fourth proportional to 20,200.68, 27,877.80 and 11,247.84 is: 15,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.68 : 27,877.80 = 11,247.84 : x
  2. Step 2: Convert to fraction form
    20,200.68/27,877.80 = 11,247.84/x
  3. Step 3: Cross multiply
    20,200.68x = 27,877.80 × 11,247.84
  4. Step 4: Simplify right side
    20,200.68x = 313,565,033.95
  5. Step 5: Solve for x
    x = 313,565,033.95/20,200.68
  6. Step 6: Final answer
    x = 15,522.50

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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.