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Finding the Fourth Proportional to 13,593.96, 20,380.32 and 9,156.60

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Solution

The fourth proportional to 13,593.96, 20,380.32 and 9,156.60 is: 13,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.96 : 20,380.32 = 9,156.60 : x
  2. Step 2: Convert to fraction form
    13,593.96/20,380.32 = 9,156.60/x
  3. Step 3: Cross multiply
    13,593.96x = 20,380.32 × 9,156.60
  4. Step 4: Simplify right side
    13,593.96x = 186,614,438.11
  5. Step 5: Solve for x
    x = 186,614,438.11/13,593.96
  6. Step 6: Final answer
    x = 13,727.75

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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.