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Finding the Fourth Proportional to 13,278.78, 18,331.02 and 8,435.97

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Solution

The fourth proportional to 13,278.78, 18,331.02 and 8,435.97 is: 11,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.78 : 18,331.02 = 8,435.97 : x
  2. Step 2: Convert to fraction form
    13,278.78/18,331.02 = 8,435.97/x
  3. Step 3: Cross multiply
    13,278.78x = 18,331.02 × 8,435.97
  4. Step 4: Simplify right side
    13,278.78x = 154,639,934.79
  5. Step 5: Solve for x
    x = 154,639,934.79/13,278.78
  6. Step 6: Final answer
    x = 11,645.64

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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.