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Finding the Fourth Proportional to 29,891.34, 41,249.24 and 17,146.66

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Solution

The fourth proportional to 29,891.34, 41,249.24 and 17,146.66 is: 23,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.34 : 41,249.24 = 17,146.66 : x
  2. Step 2: Convert to fraction form
    29,891.34/41,249.24 = 17,146.66/x
  3. Step 3: Cross multiply
    29,891.34x = 41,249.24 × 17,146.66
  4. Step 4: Simplify right side
    29,891.34x = 707,286,693.54
  5. Step 5: Solve for x
    x = 707,286,693.54/29,891.34
  6. Step 6: Final answer
    x = 23,661.93

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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.