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Finding the Fourth Proportional to 18,182.25, 25,091.81 and 11,894.63

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Solution

The fourth proportional to 18,182.25, 25,091.81 and 11,894.63 is: 16,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182.25 : 25,091.81 = 11,894.63 : x
  2. Step 2: Convert to fraction form
    18,182.25/25,091.81 = 11,894.63/x
  3. Step 3: Cross multiply
    18,182.25x = 25,091.81 × 11,894.63
  4. Step 4: Simplify right side
    18,182.25x = 298,457,700.26
  5. Step 5: Solve for x
    x = 298,457,700.26/18,182.25
  6. Step 6: Final answer
    x = 16,414.78

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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.