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Finding the Fourth Proportional to 17,822.97, 24,596.01 and 9,757.31

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Solution

The fourth proportional to 17,822.97, 24,596.01 and 9,757.31 is: 13,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.97 : 24,596.01 = 9,757.31 : x
  2. Step 2: Convert to fraction form
    17,822.97/24,596.01 = 9,757.31/x
  3. Step 3: Cross multiply
    17,822.97x = 24,596.01 × 9,757.31
  4. Step 4: Simplify right side
    17,822.97x = 239,990,771.35
  5. Step 5: Solve for x
    x = 239,990,771.35/17,822.97
  6. Step 6: Final answer
    x = 13,465.25

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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.