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Finding the Fourth Proportional to 20,415.16, 30,593.50 and 11,631.92

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Solution

The fourth proportional to 20,415.16, 30,593.50 and 11,631.92 is: 17,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.16 : 30,593.50 = 11,631.92 : x
  2. Step 2: Convert to fraction form
    20,415.16/30,593.50 = 11,631.92/x
  3. Step 3: Cross multiply
    20,415.16x = 30,593.50 × 11,631.92
  4. Step 4: Simplify right side
    20,415.16x = 355,861,144.52
  5. Step 5: Solve for x
    x = 355,861,144.52/20,415.16
  6. Step 6: Final answer
    x = 17,431.22

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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.