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Finding the Fourth Proportional to 17,334.97, 23,922.26 and 9,782.90

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Solution

The fourth proportional to 17,334.97, 23,922.26 and 9,782.90 is: 13,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.97 : 23,922.26 = 9,782.90 : x
  2. Step 2: Convert to fraction form
    17,334.97/23,922.26 = 9,782.90/x
  3. Step 3: Cross multiply
    17,334.97x = 23,922.26 × 9,782.90
  4. Step 4: Simplify right side
    17,334.97x = 234,029,077.35
  5. Step 5: Solve for x
    x = 234,029,077.35/17,334.97
  6. Step 6: Final answer
    x = 13,500.40

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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.