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Finding the Fourth Proportional to 18,536.10, 27,791.87 and 10,220.10

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Solution

The fourth proportional to 18,536.10, 27,791.87 and 10,220.10 is: 15,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.10 : 27,791.87 = 10,220.10 : x
  2. Step 2: Convert to fraction form
    18,536.10/27,791.87 = 10,220.10/x
  3. Step 3: Cross multiply
    18,536.10x = 27,791.87 × 10,220.10
  4. Step 4: Simplify right side
    18,536.10x = 284,035,639.49
  5. Step 5: Solve for x
    x = 284,035,639.49/18,536.10
  6. Step 6: Final answer
    x = 15,323.38

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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.