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Finding the Fourth Proportional to 22,524.99, 33,792.24 and 6,731.25

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Solution

The fourth proportional to 22,524.99, 33,792.24 and 6,731.25 is: 10,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.99 : 33,792.24 = 6,731.25 : x
  2. Step 2: Convert to fraction form
    22,524.99/33,792.24 = 6,731.25/x
  3. Step 3: Cross multiply
    22,524.99x = 33,792.24 × 6,731.25
  4. Step 4: Simplify right side
    22,524.99x = 227,464,066.24
  5. Step 5: Solve for x
    x = 227,464,066.24/22,524.99
  6. Step 6: Final answer
    x = 10,098.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.