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Finding the Fourth Proportional to 29,841.30, 41,177 and 18,506.68

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Solution

The fourth proportional to 29,841.30, 41,177 and 18,506.68 is: 25,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.30 : 41,177 = 18,506.68 : x
  2. Step 2: Convert to fraction form
    29,841.30/41,177 = 18,506.68/x
  3. Step 3: Cross multiply
    29,841.30x = 41,177 × 18,506.68
  4. Step 4: Simplify right side
    29,841.30x = 762,049,562.36
  5. Step 5: Solve for x
    x = 762,049,562.36/29,841.30
  6. Step 6: Final answer
    x = 25,536.74

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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.