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Finding the Fourth Proportional to 29,782.39, 41,099.73 and 16,353.99

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Solution

The fourth proportional to 29,782.39, 41,099.73 and 16,353.99 is: 22,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.39 : 41,099.73 = 16,353.99 : x
  2. Step 2: Convert to fraction form
    29,782.39/41,099.73 = 16,353.99/x
  3. Step 3: Cross multiply
    29,782.39x = 41,099.73 × 16,353.99
  4. Step 4: Simplify right side
    29,782.39x = 672,144,573.42
  5. Step 5: Solve for x
    x = 672,144,573.42/29,782.39
  6. Step 6: Final answer
    x = 22,568.52

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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.