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Finding the Fourth Proportional to 13,954.56, 19,253.82 and 8,286.93

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Solution

The fourth proportional to 13,954.56, 19,253.82 and 8,286.93 is: 11,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.56 : 19,253.82 = 8,286.93 : x
  2. Step 2: Convert to fraction form
    13,954.56/19,253.82 = 8,286.93/x
  3. Step 3: Cross multiply
    13,954.56x = 19,253.82 × 8,286.93
  4. Step 4: Simplify right side
    13,954.56x = 159,555,058.57
  5. Step 5: Solve for x
    x = 159,555,058.57/13,954.56
  6. Step 6: Final answer
    x = 11,433.90

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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.