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Finding the Fourth Proportional to 17,263.55, 23,824.49 and 9,709.80

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Solution

The fourth proportional to 17,263.55, 23,824.49 and 9,709.80 is: 13,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.55 : 23,824.49 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    17,263.55/23,824.49 = 9,709.80/x
  3. Step 3: Cross multiply
    17,263.55x = 23,824.49 × 9,709.80
  4. Step 4: Simplify right side
    17,263.55x = 231,331,033.00
  5. Step 5: Solve for x
    x = 231,331,033.00/17,263.55
  6. Step 6: Final answer
    x = 13,399.97

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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.