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Finding the Fourth Proportional to 18,524.28, 27,784.62 and 10,201.56

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Solution

The fourth proportional to 18,524.28, 27,784.62 and 10,201.56 is: 15,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.28 : 27,784.62 = 10,201.56 : x
  2. Step 2: Convert to fraction form
    18,524.28/27,784.62 = 10,201.56/x
  3. Step 3: Cross multiply
    18,524.28x = 27,784.62 × 10,201.56
  4. Step 4: Simplify right side
    18,524.28x = 283,446,468.01
  5. Step 5: Solve for x
    x = 283,446,468.01/18,524.28
  6. Step 6: Final answer
    x = 15,301.35

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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.