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Finding the Fourth Proportional to 12,813.84, 19,231.56 and 5,028.12

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Solution

The fourth proportional to 12,813.84, 19,231.56 and 5,028.12 is: 7,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.84 : 19,231.56 = 5,028.12 : x
  2. Step 2: Convert to fraction form
    12,813.84/19,231.56 = 5,028.12/x
  3. Step 3: Cross multiply
    12,813.84x = 19,231.56 × 5,028.12
  4. Step 4: Simplify right side
    12,813.84x = 96,698,591.47
  5. Step 5: Solve for x
    x = 96,698,591.47/12,813.84
  6. Step 6: Final answer
    x = 7,546.42

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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.