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Finding the Fourth Proportional to 22,972.56, 34,461 and 6,331.92

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Solution

The fourth proportional to 22,972.56, 34,461 and 6,331.92 is: 9,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.56 : 34,461 = 6,331.92 : x
  2. Step 2: Convert to fraction form
    22,972.56/34,461 = 6,331.92/x
  3. Step 3: Cross multiply
    22,972.56x = 34,461 × 6,331.92
  4. Step 4: Simplify right side
    22,972.56x = 218,204,295.12
  5. Step 5: Solve for x
    x = 218,204,295.12/22,972.56
  6. Step 6: Final answer
    x = 9,498.48

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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.