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Finding the Fourth Proportional to 20,400.24, 30,593.88 and 6,546

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Solution

The fourth proportional to 20,400.24, 30,593.88 and 6,546 is: 9,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.24 : 30,593.88 = 6,546 : x
  2. Step 2: Convert to fraction form
    20,400.24/30,593.88 = 6,546/x
  3. Step 3: Cross multiply
    20,400.24x = 30,593.88 × 6,546
  4. Step 4: Simplify right side
    20,400.24x = 200,267,538.48
  5. Step 5: Solve for x
    x = 200,267,538.48/20,400.24
  6. Step 6: Final answer
    x = 9,816.92

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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.