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Finding the Fourth Proportional to 22,144.32, 30,563.10 and 13,197

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Solution

The fourth proportional to 22,144.32, 30,563.10 and 13,197 is: 18,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.32 : 30,563.10 = 13,197 : x
  2. Step 2: Convert to fraction form
    22,144.32/30,563.10 = 13,197/x
  3. Step 3: Cross multiply
    22,144.32x = 30,563.10 × 13,197
  4. Step 4: Simplify right side
    22,144.32x = 403,341,230.70
  5. Step 5: Solve for x
    x = 403,341,230.70/22,144.32
  6. Step 6: Final answer
    x = 18,214.21

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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.