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Finding the Fourth Proportional to 29,743.88, 41,046.94 and 16,314.26

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Solution

The fourth proportional to 29,743.88, 41,046.94 and 16,314.26 is: 22,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.88 : 41,046.94 = 16,314.26 : x
  2. Step 2: Convert to fraction form
    29,743.88/41,046.94 = 16,314.26/x
  3. Step 3: Cross multiply
    29,743.88x = 41,046.94 × 16,314.26
  4. Step 4: Simplify right side
    29,743.88x = 669,650,451.36
  5. Step 5: Solve for x
    x = 669,650,451.36/29,743.88
  6. Step 6: Final answer
    x = 22,513.89

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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.