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Finding the Fourth Proportional to 29,314.25, 40,453.67 and 16,739

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Solution

The fourth proportional to 29,314.25, 40,453.67 and 16,739 is: 23,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.25 : 40,453.67 = 16,739 : x
  2. Step 2: Convert to fraction form
    29,314.25/40,453.67 = 16,739/x
  3. Step 3: Cross multiply
    29,314.25x = 40,453.67 × 16,739
  4. Step 4: Simplify right side
    29,314.25x = 677,153,982.13
  5. Step 5: Solve for x
    x = 677,153,982.13/29,314.25
  6. Step 6: Final answer
    x = 23,099.82

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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.