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Finding the Fourth Proportional to 17,650.10, 24,357.22 and 10,096.52

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Solution

The fourth proportional to 17,650.10, 24,357.22 and 10,096.52 is: 13,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.10 : 24,357.22 = 10,096.52 : x
  2. Step 2: Convert to fraction form
    17,650.10/24,357.22 = 10,096.52/x
  3. Step 3: Cross multiply
    17,650.10x = 24,357.22 × 10,096.52
  4. Step 4: Simplify right side
    17,650.10x = 245,923,011.85
  5. Step 5: Solve for x
    x = 245,923,011.85/17,650.10
  6. Step 6: Final answer
    x = 13,933.23

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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.