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Finding the Fourth Proportional to 13,571.76, 20,388.84 and 9,578.34

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Solution

The fourth proportional to 13,571.76, 20,388.84 and 9,578.34 is: 14,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.76 : 20,388.84 = 9,578.34 : x
  2. Step 2: Convert to fraction form
    13,571.76/20,388.84 = 9,578.34/x
  3. Step 3: Cross multiply
    13,571.76x = 20,388.84 × 9,578.34
  4. Step 4: Simplify right side
    13,571.76x = 195,291,241.73
  5. Step 5: Solve for x
    x = 195,291,241.73/13,571.76
  6. Step 6: Final answer
    x = 14,389.53

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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.