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Finding the Fourth Proportional to 17,142.66, 23,661.84 and 9,974.22

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Solution

The fourth proportional to 17,142.66, 23,661.84 and 9,974.22 is: 13,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.66 : 23,661.84 = 9,974.22 : x
  2. Step 2: Convert to fraction form
    17,142.66/23,661.84 = 9,974.22/x
  3. Step 3: Cross multiply
    17,142.66x = 23,661.84 × 9,974.22
  4. Step 4: Simplify right side
    17,142.66x = 236,008,397.76
  5. Step 5: Solve for x
    x = 236,008,397.76/17,142.66
  6. Step 6: Final answer
    x = 13,767.31

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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.