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Finding the Fourth Proportional to 17,223.31, 23,767.94 and 9,669.44

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Solution

The fourth proportional to 17,223.31, 23,767.94 and 9,669.44 is: 13,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.31 : 23,767.94 = 9,669.44 : x
  2. Step 2: Convert to fraction form
    17,223.31/23,767.94 = 9,669.44/x
  3. Step 3: Cross multiply
    17,223.31x = 23,767.94 × 9,669.44
  4. Step 4: Simplify right side
    17,223.31x = 229,822,817.08
  5. Step 5: Solve for x
    x = 229,822,817.08/17,223.31
  6. Step 6: Final answer
    x = 13,343.71

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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.