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Finding the Fourth Proportional to 18,121.29, 27,184.47 and 5,642.22

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Solution

The fourth proportional to 18,121.29, 27,184.47 and 5,642.22 is: 8,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.29 : 27,184.47 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    18,121.29/27,184.47 = 5,642.22/x
  3. Step 3: Cross multiply
    18,121.29x = 27,184.47 × 5,642.22
  4. Step 4: Simplify right side
    18,121.29x = 153,380,760.32
  5. Step 5: Solve for x
    x = 153,380,760.32/18,121.29
  6. Step 6: Final answer
    x = 8,464.12

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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.