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Finding the Fourth Proportional to 17,321.92, 23,904.25 and 9,364.14

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Solution

The fourth proportional to 17,321.92, 23,904.25 and 9,364.14 is: 12,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.92 : 23,904.25 = 9,364.14 : x
  2. Step 2: Convert to fraction form
    17,321.92/23,904.25 = 9,364.14/x
  3. Step 3: Cross multiply
    17,321.92x = 23,904.25 × 9,364.14
  4. Step 4: Simplify right side
    17,321.92x = 223,842,720.18
  5. Step 5: Solve for x
    x = 223,842,720.18/17,321.92
  6. Step 6: Final answer
    x = 12,922.51

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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.