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Finding the Fourth Proportional to 17,753.21, 24,499.02 and 9,795.44

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Solution

The fourth proportional to 17,753.21, 24,499.02 and 9,795.44 is: 13,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.21 : 24,499.02 = 9,795.44 : x
  2. Step 2: Convert to fraction form
    17,753.21/24,499.02 = 9,795.44/x
  3. Step 3: Cross multiply
    17,753.21x = 24,499.02 × 9,795.44
  4. Step 4: Simplify right side
    17,753.21x = 239,978,680.47
  5. Step 5: Solve for x
    x = 239,978,680.47/17,753.21
  6. Step 6: Final answer
    x = 13,517.48

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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.