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Finding the Fourth Proportional to 13,578.64, 20,361.52 and 5,262.56

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Solution

The fourth proportional to 13,578.64, 20,361.52 and 5,262.56 is: 7,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.64 : 20,361.52 = 5,262.56 : x
  2. Step 2: Convert to fraction form
    13,578.64/20,361.52 = 5,262.56/x
  3. Step 3: Cross multiply
    13,578.64x = 20,361.52 × 5,262.56
  4. Step 4: Simplify right side
    13,578.64x = 107,153,720.69
  5. Step 5: Solve for x
    x = 107,153,720.69/13,578.64
  6. Step 6: Final answer
    x = 7,891.34

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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.