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Finding the Fourth Proportional to 13,220.28, 19,830.96 and 5,427

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Solution

The fourth proportional to 13,220.28, 19,830.96 and 5,427 is: 8,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.28 : 19,830.96 = 5,427 : x
  2. Step 2: Convert to fraction form
    13,220.28/19,830.96 = 5,427/x
  3. Step 3: Cross multiply
    13,220.28x = 19,830.96 × 5,427
  4. Step 4: Simplify right side
    13,220.28x = 107,622,619.92
  5. Step 5: Solve for x
    x = 107,622,619.92/13,220.28
  6. Step 6: Final answer
    x = 8,140.72

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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.