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Finding the Fourth Proportional to 20,142.64, 30,200.16 and 10,262.80

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Solution

The fourth proportional to 20,142.64, 30,200.16 and 10,262.80 is: 15,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.64 : 30,200.16 = 10,262.80 : x
  2. Step 2: Convert to fraction form
    20,142.64/30,200.16 = 10,262.80/x
  3. Step 3: Cross multiply
    20,142.64x = 30,200.16 × 10,262.80
  4. Step 4: Simplify right side
    20,142.64x = 309,938,202.05
  5. Step 5: Solve for x
    x = 309,938,202.05/20,142.64
  6. Step 6: Final answer
    x = 15,387.17

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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.