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Finding the Fourth Proportional to 17,822.25, 24,593.87 and 9,755.75

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Solution

The fourth proportional to 17,822.25, 24,593.87 and 9,755.75 is: 13,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.25 : 24,593.87 = 9,755.75 : x
  2. Step 2: Convert to fraction form
    17,822.25/24,593.87 = 9,755.75/x
  3. Step 3: Cross multiply
    17,822.25x = 24,593.87 × 9,755.75
  4. Step 4: Simplify right side
    17,822.25x = 239,931,475.50
  5. Step 5: Solve for x
    x = 239,931,475.50/17,822.25
  6. Step 6: Final answer
    x = 13,462.47

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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.