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Finding the Fourth Proportional to 13,625.53, 20,438.15 and 8,074.87

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Solution

The fourth proportional to 13,625.53, 20,438.15 and 8,074.87 is: 12,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.53 : 20,438.15 = 8,074.87 : x
  2. Step 2: Convert to fraction form
    13,625.53/20,438.15 = 8,074.87/x
  3. Step 3: Cross multiply
    13,625.53x = 20,438.15 × 8,074.87
  4. Step 4: Simplify right side
    13,625.53x = 165,035,404.29
  5. Step 5: Solve for x
    x = 165,035,404.29/13,625.53
  6. Step 6: Final answer
    x = 12,112.22

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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.