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Finding the Fourth Proportional to 20,144.80, 27,813.36 and 15,420.64

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Solution

The fourth proportional to 20,144.80, 27,813.36 and 15,420.64 is: 21,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.80 : 27,813.36 = 15,420.64 : x
  2. Step 2: Convert to fraction form
    20,144.80/27,813.36 = 15,420.64/x
  3. Step 3: Cross multiply
    20,144.80x = 27,813.36 × 15,420.64
  4. Step 4: Simplify right side
    20,144.80x = 428,899,811.75
  5. Step 5: Solve for x
    x = 428,899,811.75/20,144.80
  6. Step 6: Final answer
    x = 21,290.84

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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.