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Finding the Fourth Proportional to 18,522.30, 27,783.39 and 10,198.02

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Solution

The fourth proportional to 18,522.30, 27,783.39 and 10,198.02 is: 15,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.30 : 27,783.39 = 10,198.02 : x
  2. Step 2: Convert to fraction form
    18,522.30/27,783.39 = 10,198.02/x
  3. Step 3: Cross multiply
    18,522.30x = 27,783.39 × 10,198.02
  4. Step 4: Simplify right side
    18,522.30x = 283,335,566.89
  5. Step 5: Solve for x
    x = 283,335,566.89/18,522.30
  6. Step 6: Final answer
    x = 15,297.00

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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.