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Finding the Fourth Proportional to 13,697.87, 20,552.11 and 5,376.42

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Solution

The fourth proportional to 13,697.87, 20,552.11 and 5,376.42 is: 8,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.87 : 20,552.11 = 5,376.42 : x
  2. Step 2: Convert to fraction form
    13,697.87/20,552.11 = 5,376.42/x
  3. Step 3: Cross multiply
    13,697.87x = 20,552.11 × 5,376.42
  4. Step 4: Simplify right side
    13,697.87x = 110,496,761.81
  5. Step 5: Solve for x
    x = 110,496,761.81/13,697.87
  6. Step 6: Final answer
    x = 8,066.71

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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.