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Finding the Fourth Proportional to 12,817.32, 19,231.90 and 5,028.20

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Solution

The fourth proportional to 12,817.32, 19,231.90 and 5,028.20 is: 7,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.32 : 19,231.90 = 5,028.20 : x
  2. Step 2: Convert to fraction form
    12,817.32/19,231.90 = 5,028.20/x
  3. Step 3: Cross multiply
    12,817.32x = 19,231.90 × 5,028.20
  4. Step 4: Simplify right side
    12,817.32x = 96,701,839.58
  5. Step 5: Solve for x
    x = 96,701,839.58/12,817.32
  6. Step 6: Final answer
    x = 7,544.62

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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.