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Finding the Fourth Proportional to 13,453.86, 20,180.84 and 6,523.50

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Solution

The fourth proportional to 13,453.86, 20,180.84 and 6,523.50 is: 9,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.86 : 20,180.84 = 6,523.50 : x
  2. Step 2: Convert to fraction form
    13,453.86/20,180.84 = 6,523.50/x
  3. Step 3: Cross multiply
    13,453.86x = 20,180.84 × 6,523.50
  4. Step 4: Simplify right side
    13,453.86x = 131,649,677.12
  5. Step 5: Solve for x
    x = 131,649,677.12/13,453.86
  6. Step 6: Final answer
    x = 9,785.27

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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.