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Finding the Fourth Proportional to 13,732.64, 18,947.84 and 8,067.08

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Solution

The fourth proportional to 13,732.64, 18,947.84 and 8,067.08 is: 11,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.64 : 18,947.84 = 8,067.08 : x
  2. Step 2: Convert to fraction form
    13,732.64/18,947.84 = 8,067.08/x
  3. Step 3: Cross multiply
    13,732.64x = 18,947.84 × 8,067.08
  4. Step 4: Simplify right side
    13,732.64x = 152,853,741.11
  5. Step 5: Solve for x
    x = 152,853,741.11/13,732.64
  6. Step 6: Final answer
    x = 11,130.69

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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.