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Finding the Fourth Proportional to 17,696.10, 24,419.49 and 10,142.34

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Solution

The fourth proportional to 17,696.10, 24,419.49 and 10,142.34 is: 13,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.10 : 24,419.49 = 10,142.34 : x
  2. Step 2: Convert to fraction form
    17,696.10/24,419.49 = 10,142.34/x
  3. Step 3: Cross multiply
    17,696.10x = 24,419.49 × 10,142.34
  4. Step 4: Simplify right side
    17,696.10x = 247,670,770.21
  5. Step 5: Solve for x
    x = 247,670,770.21/17,696.10
  6. Step 6: Final answer
    x = 13,995.78

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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.