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Finding the Fourth Proportional to 17,275.44, 23,842.98 and 9,725.16

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Solution

The fourth proportional to 17,275.44, 23,842.98 and 9,725.16 is: 13,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275.44 : 23,842.98 = 9,725.16 : x
  2. Step 2: Convert to fraction form
    17,275.44/23,842.98 = 9,725.16/x
  3. Step 3: Cross multiply
    17,275.44x = 23,842.98 × 9,725.16
  4. Step 4: Simplify right side
    17,275.44x = 231,876,795.38
  5. Step 5: Solve for x
    x = 231,876,795.38/17,275.44
  6. Step 6: Final answer
    x = 13,422.34

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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.