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Finding the Fourth Proportional to 17,200, 23,736 and 9,748

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Solution

The fourth proportional to 17,200, 23,736 and 9,748 is: 13,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200 : 23,736 = 9,748 : x
  2. Step 2: Convert to fraction form
    17,200/23,736 = 9,748/x
  3. Step 3: Cross multiply
    17,200x = 23,736 × 9,748
  4. Step 4: Simplify right side
    17,200x = 231,378,528
  5. Step 5: Solve for x
    x = 231,378,528/17,200
  6. Step 6: Final answer
    x = 13,452.24

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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.