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Finding the Fourth Proportional to 14,605.94, 20,142.97 and 9,568.33

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Solution

The fourth proportional to 14,605.94, 20,142.97 and 9,568.33 is: 13,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.94 : 20,142.97 = 9,568.33 : x
  2. Step 2: Convert to fraction form
    14,605.94/20,142.97 = 9,568.33/x
  3. Step 3: Cross multiply
    14,605.94x = 20,142.97 × 9,568.33
  4. Step 4: Simplify right side
    14,605.94x = 192,734,584.14
  5. Step 5: Solve for x
    x = 192,734,584.14/14,605.94
  6. Step 6: Final answer
    x = 13,195.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.