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Finding the Fourth Proportional to 17,694.15, 24,418.15 and 9,736.20

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Solution

The fourth proportional to 17,694.15, 24,418.15 and 9,736.20 is: 13,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.15 : 24,418.15 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    17,694.15/24,418.15 = 9,736.20/x
  3. Step 3: Cross multiply
    17,694.15x = 24,418.15 × 9,736.20
  4. Step 4: Simplify right side
    17,694.15x = 237,739,967.69
  5. Step 5: Solve for x
    x = 237,739,967.69/17,694.15
  6. Step 6: Final answer
    x = 13,436.08

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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.