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Finding the Fourth Proportional to 17,697.72, 24,422.20 and 9,739.88

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Solution

The fourth proportional to 17,697.72, 24,422.20 and 9,739.88 is: 13,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.72 : 24,422.20 = 9,739.88 : x
  2. Step 2: Convert to fraction form
    17,697.72/24,422.20 = 9,739.88/x
  3. Step 3: Cross multiply
    17,697.72x = 24,422.20 × 9,739.88
  4. Step 4: Simplify right side
    17,697.72x = 237,869,297.34
  5. Step 5: Solve for x
    x = 237,869,297.34/17,697.72
  6. Step 6: Final answer
    x = 13,440.67

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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.