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Finding the Fourth Proportional to 18,194.16, 27,264.84 and 9,867.12

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Solution

The fourth proportional to 18,194.16, 27,264.84 and 9,867.12 is: 14,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.16 : 27,264.84 = 9,867.12 : x
  2. Step 2: Convert to fraction form
    18,194.16/27,264.84 = 9,867.12/x
  3. Step 3: Cross multiply
    18,194.16x = 27,264.84 × 9,867.12
  4. Step 4: Simplify right side
    18,194.16x = 269,025,448.06
  5. Step 5: Solve for x
    x = 269,025,448.06/18,194.16
  6. Step 6: Final answer
    x = 14,786.36

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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.