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Finding the Fourth Proportional to 17,224.38, 23,767.62 and 9,669.66

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Solution

The fourth proportional to 17,224.38, 23,767.62 and 9,669.66 is: 13,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.38 : 23,767.62 = 9,669.66 : x
  2. Step 2: Convert to fraction form
    17,224.38/23,767.62 = 9,669.66/x
  3. Step 3: Cross multiply
    17,224.38x = 23,767.62 × 9,669.66
  4. Step 4: Simplify right side
    17,224.38x = 229,824,804.41
  5. Step 5: Solve for x
    x = 229,824,804.41/17,224.38
  6. Step 6: Final answer
    x = 13,342.99

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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.