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Finding the Fourth Proportional to 13,882.83, 20,813.31 and 5,112.96

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Solution

The fourth proportional to 13,882.83, 20,813.31 and 5,112.96 is: 7,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.83 : 20,813.31 = 5,112.96 : x
  2. Step 2: Convert to fraction form
    13,882.83/20,813.31 = 5,112.96/x
  3. Step 3: Cross multiply
    13,882.83x = 20,813.31 × 5,112.96
  4. Step 4: Simplify right side
    13,882.83x = 106,417,621.50
  5. Step 5: Solve for x
    x = 106,417,621.50/13,882.83
  6. Step 6: Final answer
    x = 7,665.41

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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.