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Finding the Fourth Proportional to 13,373.86, 20,067.81 and 7,838.05

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Solution

The fourth proportional to 13,373.86, 20,067.81 and 7,838.05 is: 11,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.86 : 20,067.81 = 7,838.05 : x
  2. Step 2: Convert to fraction form
    13,373.86/20,067.81 = 7,838.05/x
  3. Step 3: Cross multiply
    13,373.86x = 20,067.81 × 7,838.05
  4. Step 4: Simplify right side
    13,373.86x = 157,292,498.17
  5. Step 5: Solve for x
    x = 157,292,498.17/13,373.86
  6. Step 6: Final answer
    x = 11,761.19

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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.