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Finding the Fourth Proportional to 13,771.59, 20,657.45 and 5,451.27

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Solution

The fourth proportional to 13,771.59, 20,657.45 and 5,451.27 is: 8,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.59 : 20,657.45 = 5,451.27 : x
  2. Step 2: Convert to fraction form
    13,771.59/20,657.45 = 5,451.27/x
  3. Step 3: Cross multiply
    13,771.59x = 20,657.45 × 5,451.27
  4. Step 4: Simplify right side
    13,771.59x = 112,609,310.21
  5. Step 5: Solve for x
    x = 112,609,310.21/13,771.59
  6. Step 6: Final answer
    x = 8,176.93

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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.