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Finding the Fourth Proportional to 29,782.69, 41,099.40 and 16,353.90

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Solution

The fourth proportional to 29,782.69, 41,099.40 and 16,353.90 is: 22,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.69 : 41,099.40 = 16,353.90 : x
  2. Step 2: Convert to fraction form
    29,782.69/41,099.40 = 16,353.90/x
  3. Step 3: Cross multiply
    29,782.69x = 41,099.40 × 16,353.90
  4. Step 4: Simplify right side
    29,782.69x = 672,135,477.66
  5. Step 5: Solve for x
    x = 672,135,477.66/29,782.69
  6. Step 6: Final answer
    x = 22,567.99

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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.