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Finding the Fourth Proportional to 17,496.96, 24,140.04 and 10,422.42

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Solution

The fourth proportional to 17,496.96, 24,140.04 and 10,422.42 is: 14,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.96 : 24,140.04 = 10,422.42 : x
  2. Step 2: Convert to fraction form
    17,496.96/24,140.04 = 10,422.42/x
  3. Step 3: Cross multiply
    17,496.96x = 24,140.04 × 10,422.42
  4. Step 4: Simplify right side
    17,496.96x = 251,597,635.70
  5. Step 5: Solve for x
    x = 251,597,635.70/17,496.96
  6. Step 6: Final answer
    x = 14,379.51

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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.