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Finding the Fourth Proportional to 29,626.56, 40,885.38 and 16,198.38

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Solution

The fourth proportional to 29,626.56, 40,885.38 and 16,198.38 is: 22,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,626.56 : 40,885.38 = 16,198.38 : x
  2. Step 2: Convert to fraction form
    29,626.56/40,885.38 = 16,198.38/x
  3. Step 3: Cross multiply
    29,626.56x = 40,885.38 × 16,198.38
  4. Step 4: Simplify right side
    29,626.56x = 662,276,921.68
  5. Step 5: Solve for x
    x = 662,276,921.68/29,626.56
  6. Step 6: Final answer
    x = 22,354.16

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Why These Related Problems?

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