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Finding the Fourth Proportional to 13,475.44, 20,213.16 and 6,544

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Solution

The fourth proportional to 13,475.44, 20,213.16 and 6,544 is: 9,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.44 : 20,213.16 = 6,544 : x
  2. Step 2: Convert to fraction form
    13,475.44/20,213.16 = 6,544/x
  3. Step 3: Cross multiply
    13,475.44x = 20,213.16 × 6,544
  4. Step 4: Simplify right side
    13,475.44x = 132,274,919.04
  5. Step 5: Solve for x
    x = 132,274,919.04/13,475.44
  6. Step 6: Final answer
    x = 9,816.00

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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.