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Finding the Fourth Proportional to 18,540.16, 27,809.92 and 6,228.16

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Solution

The fourth proportional to 18,540.16, 27,809.92 and 6,228.16 is: 9,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.16 : 27,809.92 = 6,228.16 : x
  2. Step 2: Convert to fraction form
    18,540.16/27,809.92 = 6,228.16/x
  3. Step 3: Cross multiply
    18,540.16x = 27,809.92 × 6,228.16
  4. Step 4: Simplify right side
    18,540.16x = 173,204,631.35
  5. Step 5: Solve for x
    x = 173,204,631.35/18,540.16
  6. Step 6: Final answer
    x = 9,342.13

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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.