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Finding the Fourth Proportional to 20,415.24, 30,616.38 and 6,561

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Solution

The fourth proportional to 20,415.24, 30,616.38 and 6,561 is: 9,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.24 : 30,616.38 = 6,561 : x
  2. Step 2: Convert to fraction form
    20,415.24/30,616.38 = 6,561/x
  3. Step 3: Cross multiply
    20,415.24x = 30,616.38 × 6,561
  4. Step 4: Simplify right side
    20,415.24x = 200,874,069.18
  5. Step 5: Solve for x
    x = 200,874,069.18/20,415.24
  6. Step 6: Final answer
    x = 9,839.42

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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.