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Finding the Fourth Proportional to 16,571.75, 24,857.64 and 4,259.75

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Solution

The fourth proportional to 16,571.75, 24,857.64 and 4,259.75 is: 6,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.75 : 24,857.64 = 4,259.75 : x
  2. Step 2: Convert to fraction form
    16,571.75/24,857.64 = 4,259.75/x
  3. Step 3: Cross multiply
    16,571.75x = 24,857.64 × 4,259.75
  4. Step 4: Simplify right side
    16,571.75x = 105,887,331.99
  5. Step 5: Solve for x
    x = 105,887,331.99/16,571.75
  6. Step 6: Final answer
    x = 6,389.63

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Similar ratio
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1.5x scale

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.