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Finding the Fourth Proportional to 17,186.26, 23,717.02 and 9,734.26

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Solution

The fourth proportional to 17,186.26, 23,717.02 and 9,734.26 is: 13,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.26 : 23,717.02 = 9,734.26 : x
  2. Step 2: Convert to fraction form
    17,186.26/23,717.02 = 9,734.26/x
  3. Step 3: Cross multiply
    17,186.26x = 23,717.02 × 9,734.26
  4. Step 4: Simplify right side
    17,186.26x = 230,867,639.11
  5. Step 5: Solve for x
    x = 230,867,639.11/17,186.26
  6. Step 6: Final answer
    x = 13,433.27

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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.