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Finding the Fourth Proportional to 13,857.12, 20,772.72 and 5,089.68

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Solution

The fourth proportional to 13,857.12, 20,772.72 and 5,089.68 is: 7,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.12 : 20,772.72 = 5,089.68 : x
  2. Step 2: Convert to fraction form
    13,857.12/20,772.72 = 5,089.68/x
  3. Step 3: Cross multiply
    13,857.12x = 20,772.72 × 5,089.68
  4. Step 4: Simplify right side
    13,857.12x = 105,726,497.53
  5. Step 5: Solve for x
    x = 105,726,497.53/13,857.12
  6. Step 6: Final answer
    x = 7,629.76

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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.