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Finding the Fourth Proportional to 17,275.68, 23,838.48 and 9,721.44

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Solution

The fourth proportional to 17,275.68, 23,838.48 and 9,721.44 is: 13,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275.68 : 23,838.48 = 9,721.44 : x
  2. Step 2: Convert to fraction form
    17,275.68/23,838.48 = 9,721.44/x
  3. Step 3: Cross multiply
    17,275.68x = 23,838.48 × 9,721.44
  4. Step 4: Simplify right side
    17,275.68x = 231,744,353.01
  5. Step 5: Solve for x
    x = 231,744,353.01/17,275.68
  6. Step 6: Final answer
    x = 13,414.49

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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.