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Finding the Fourth Proportional to 17,821.82, 24,593.74 and 9,863.58

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Solution

The fourth proportional to 17,821.82, 24,593.74 and 9,863.58 is: 13,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.82 : 24,593.74 = 9,863.58 : x
  2. Step 2: Convert to fraction form
    17,821.82/24,593.74 = 9,863.58/x
  3. Step 3: Cross multiply
    17,821.82x = 24,593.74 × 9,863.58
  4. Step 4: Simplify right side
    17,821.82x = 242,582,321.99
  5. Step 5: Solve for x
    x = 242,582,321.99/17,821.82
  6. Step 6: Final answer
    x = 13,611.53

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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.