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Finding the Fourth Proportional to 17,697.21, 24,422.32 and 9,739.62

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Solution

The fourth proportional to 17,697.21, 24,422.32 and 9,739.62 is: 13,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.21 : 24,422.32 = 9,739.62 : x
  2. Step 2: Convert to fraction form
    17,697.21/24,422.32 = 9,739.62/x
  3. Step 3: Cross multiply
    17,697.21x = 24,422.32 × 9,739.62
  4. Step 4: Simplify right side
    17,697.21x = 237,864,116.32
  5. Step 5: Solve for x
    x = 237,864,116.32/17,697.21
  6. Step 6: Final answer
    x = 13,440.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.