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Finding the Fourth Proportional to 29,609.84, 40,861.10 and 16,180.82

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Solution

The fourth proportional to 29,609.84, 40,861.10 and 16,180.82 is: 22,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,609.84 : 40,861.10 = 16,180.82 : x
  2. Step 2: Convert to fraction form
    29,609.84/40,861.10 = 16,180.82/x
  3. Step 3: Cross multiply
    29,609.84x = 40,861.10 × 16,180.82
  4. Step 4: Simplify right side
    29,609.84x = 661,166,104.10
  5. Step 5: Solve for x
    x = 661,166,104.10/29,609.84
  6. Step 6: Final answer
    x = 22,329.27

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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.