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Finding the Fourth Proportional to 17,697.39, 24,422.40 and 9,739.44

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Solution

The fourth proportional to 17,697.39, 24,422.40 and 9,739.44 is: 13,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.39 : 24,422.40 = 9,739.44 : x
  2. Step 2: Convert to fraction form
    17,697.39/24,422.40 = 9,739.44/x
  3. Step 3: Cross multiply
    17,697.39x = 24,422.40 × 9,739.44
  4. Step 4: Simplify right side
    17,697.39x = 237,860,499.46
  5. Step 5: Solve for x
    x = 237,860,499.46/17,697.39
  6. Step 6: Final answer
    x = 13,440.43

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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.