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Finding the Fourth Proportional to 18,784.29, 25,914.81 and 11,227.83

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Solution

The fourth proportional to 18,784.29, 25,914.81 and 11,227.83 is: 15,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.29 : 25,914.81 = 11,227.83 : x
  2. Step 2: Convert to fraction form
    18,784.29/25,914.81 = 11,227.83/x
  3. Step 3: Cross multiply
    18,784.29x = 25,914.81 × 11,227.83
  4. Step 4: Simplify right side
    18,784.29x = 290,967,081.16
  5. Step 5: Solve for x
    x = 290,967,081.16/18,784.29
  6. Step 6: Final answer
    x = 15,489.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.