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Finding the Fourth Proportional to 22,154.45, 30,571.92 and 12,593

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Solution

The fourth proportional to 22,154.45, 30,571.92 and 12,593 is: 17,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.45 : 30,571.92 = 12,593 : x
  2. Step 2: Convert to fraction form
    22,154.45/30,571.92 = 12,593/x
  3. Step 3: Cross multiply
    22,154.45x = 30,571.92 × 12,593
  4. Step 4: Simplify right side
    22,154.45x = 384,992,188.56
  5. Step 5: Solve for x
    x = 384,992,188.56/22,154.45
  6. Step 6: Final answer
    x = 17,377.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.