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Finding the Fourth Proportional to 22,792.53, 34,192.41 and 9,645

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Solution

The fourth proportional to 22,792.53, 34,192.41 and 9,645 is: 14,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.53 : 34,192.41 = 9,645 : x
  2. Step 2: Convert to fraction form
    22,792.53/34,192.41 = 9,645/x
  3. Step 3: Cross multiply
    22,792.53x = 34,192.41 × 9,645
  4. Step 4: Simplify right side
    22,792.53x = 329,785,794.45
  5. Step 5: Solve for x
    x = 329,785,794.45/22,792.53
  6. Step 6: Final answer
    x = 14,469.03

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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.