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Finding the Fourth Proportional to 20,199.88, 30,274.50 and 10,816.64

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Solution

The fourth proportional to 20,199.88, 30,274.50 and 10,816.64 is: 16,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.88 : 30,274.50 = 10,816.64 : x
  2. Step 2: Convert to fraction form
    20,199.88/30,274.50 = 10,816.64/x
  3. Step 3: Cross multiply
    20,199.88x = 30,274.50 × 10,816.64
  4. Step 4: Simplify right side
    20,199.88x = 327,468,216.31
  5. Step 5: Solve for x
    x = 327,468,216.31/20,199.88
  6. Step 6: Final answer
    x = 16,211.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.