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Finding the Fourth Proportional to 17,296.80, 23,869.92 and 10,223.22

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Solution

The fourth proportional to 17,296.80, 23,869.92 and 10,223.22 is: 14,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.80 : 23,869.92 = 10,223.22 : x
  2. Step 2: Convert to fraction form
    17,296.80/23,869.92 = 10,223.22/x
  3. Step 3: Cross multiply
    17,296.80x = 23,869.92 × 10,223.22
  4. Step 4: Simplify right side
    17,296.80x = 244,027,443.54
  5. Step 5: Solve for x
    x = 244,027,443.54/17,296.80
  6. Step 6: Final answer
    x = 14,108.24

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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.