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Finding the Fourth Proportional to 13,854.69, 20,781.36 and 5,089.05

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Solution

The fourth proportional to 13,854.69, 20,781.36 and 5,089.05 is: 7,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.69 : 20,781.36 = 5,089.05 : x
  2. Step 2: Convert to fraction form
    13,854.69/20,781.36 = 5,089.05/x
  3. Step 3: Cross multiply
    13,854.69x = 20,781.36 × 5,089.05
  4. Step 4: Simplify right side
    13,854.69x = 105,757,380.11
  5. Step 5: Solve for x
    x = 105,757,380.11/13,854.69
  6. Step 6: Final answer
    x = 7,633.33

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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.