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Finding the Fourth Proportional to 17,197.28, 23,734.24 and 9,645.68

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Solution

The fourth proportional to 17,197.28, 23,734.24 and 9,645.68 is: 13,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.28 : 23,734.24 = 9,645.68 : x
  2. Step 2: Convert to fraction form
    17,197.28/23,734.24 = 9,645.68/x
  3. Step 3: Cross multiply
    17,197.28x = 23,734.24 × 9,645.68
  4. Step 4: Simplify right side
    17,197.28x = 228,932,884.08
  5. Step 5: Solve for x
    x = 228,932,884.08/17,197.28
  6. Step 6: Final answer
    x = 13,312.16

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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.