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Finding the Fourth Proportional to 13,571.60, 20,327.31 and 10,428.47

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Solution

The fourth proportional to 13,571.60, 20,327.31 and 10,428.47 is: 15,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.60 : 20,327.31 = 10,428.47 : x
  2. Step 2: Convert to fraction form
    13,571.60/20,327.31 = 10,428.47/x
  3. Step 3: Cross multiply
    13,571.60x = 20,327.31 × 10,428.47
  4. Step 4: Simplify right side
    13,571.60x = 211,982,640.88
  5. Step 5: Solve for x
    x = 211,982,640.88/13,571.60
  6. Step 6: Final answer
    x = 15,619.58

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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.