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Finding the Fourth Proportional to 29,613.38, 40,865.31 and 16,185.11

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Solution

The fourth proportional to 29,613.38, 40,865.31 and 16,185.11 is: 22,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613.38 : 40,865.31 = 16,185.11 : x
  2. Step 2: Convert to fraction form
    29,613.38/40,865.31 = 16,185.11/x
  3. Step 3: Cross multiply
    29,613.38x = 40,865.31 × 16,185.11
  4. Step 4: Simplify right side
    29,613.38x = 661,409,333.21
  5. Step 5: Solve for x
    x = 661,409,333.21/29,613.38
  6. Step 6: Final answer
    x = 22,334.82

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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.