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Finding the Fourth Proportional to 17,696.80, 24,419.64 and 10,145.17

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Solution

The fourth proportional to 17,696.80, 24,419.64 and 10,145.17 is: 13,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.80 : 24,419.64 = 10,145.17 : x
  2. Step 2: Convert to fraction form
    17,696.80/24,419.64 = 10,145.17/x
  3. Step 3: Cross multiply
    17,696.80x = 24,419.64 × 10,145.17
  4. Step 4: Simplify right side
    17,696.80x = 247,741,399.14
  5. Step 5: Solve for x
    x = 247,741,399.14/17,696.80
  6. Step 6: Final answer
    x = 13,999.22

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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.