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Finding the Fourth Proportional to 13,833.69, 20,740.81 and 5,067.46

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Solution

The fourth proportional to 13,833.69, 20,740.81 and 5,067.46 is: 7,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.69 : 20,740.81 = 5,067.46 : x
  2. Step 2: Convert to fraction form
    13,833.69/20,740.81 = 5,067.46/x
  3. Step 3: Cross multiply
    13,833.69x = 20,740.81 × 5,067.46
  4. Step 4: Simplify right side
    13,833.69x = 105,103,225.04
  5. Step 5: Solve for x
    x = 105,103,225.04/13,833.69
  6. Step 6: Final answer
    x = 7,597.63

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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.