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Finding the Fourth Proportional to 17,250, 23,805 and 9,798

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Solution

The fourth proportional to 17,250, 23,805 and 9,798 is: 13,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,250 : 23,805 = 9,798 : x
  2. Step 2: Convert to fraction form
    17,250/23,805 = 9,798/x
  3. Step 3: Cross multiply
    17,250x = 23,805 × 9,798
  4. Step 4: Simplify right side
    17,250x = 233,241,390
  5. Step 5: Solve for x
    x = 233,241,390/17,250
  6. Step 6: Final answer
    x = 13,521.24

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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.