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Finding the Fourth Proportional to 13,393.64, 20,067.78 and 8,112.69

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Solution

The fourth proportional to 13,393.64, 20,067.78 and 8,112.69 is: 12,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.64 : 20,067.78 = 8,112.69 : x
  2. Step 2: Convert to fraction form
    13,393.64/20,067.78 = 8,112.69/x
  3. Step 3: Cross multiply
    13,393.64x = 20,067.78 × 8,112.69
  4. Step 4: Simplify right side
    13,393.64x = 162,803,678.13
  5. Step 5: Solve for x
    x = 162,803,678.13/13,393.64
  6. Step 6: Final answer
    x = 12,155.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.