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Finding the Fourth Proportional to 19,773.75, 29,629.41 and 16,057.90

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Solution

The fourth proportional to 19,773.75, 29,629.41 and 16,057.90 is: 24,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.75 : 29,629.41 = 16,057.90 : x
  2. Step 2: Convert to fraction form
    19,773.75/29,629.41 = 16,057.90/x
  3. Step 3: Cross multiply
    19,773.75x = 29,629.41 × 16,057.90
  4. Step 4: Simplify right side
    19,773.75x = 475,786,102.84
  5. Step 5: Solve for x
    x = 475,786,102.84/19,773.75
  6. Step 6: Final answer
    x = 24,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.