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Finding the Fourth Proportional to 13,591.86, 20,391.03 and 5,272.08

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Solution

The fourth proportional to 13,591.86, 20,391.03 and 5,272.08 is: 7,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.86 : 20,391.03 = 5,272.08 : x
  2. Step 2: Convert to fraction form
    13,591.86/20,391.03 = 5,272.08/x
  3. Step 3: Cross multiply
    13,591.86x = 20,391.03 × 5,272.08
  4. Step 4: Simplify right side
    13,591.86x = 107,503,141.44
  5. Step 5: Solve for x
    x = 107,503,141.44/13,591.86
  6. Step 6: Final answer
    x = 7,909.38

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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.