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Finding the Fourth Proportional to 16,571.95, 24,857.97 and 13,646.80

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Solution

The fourth proportional to 16,571.95, 24,857.97 and 13,646.80 is: 20,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.95 : 24,857.97 = 13,646.80 : x
  2. Step 2: Convert to fraction form
    16,571.95/24,857.97 = 13,646.80/x
  3. Step 3: Cross multiply
    16,571.95x = 24,857.97 × 13,646.80
  4. Step 4: Simplify right side
    16,571.95x = 339,231,682.85
  5. Step 5: Solve for x
    x = 339,231,682.85/16,571.95
  6. Step 6: Final answer
    x = 20,470.24

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