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Finding the Fourth Proportional to 17,588.82, 24,274.89 and 10,033.43

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Solution

The fourth proportional to 17,588.82, 24,274.89 and 10,033.43 is: 13,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.82 : 24,274.89 = 10,033.43 : x
  2. Step 2: Convert to fraction form
    17,588.82/24,274.89 = 10,033.43/x
  3. Step 3: Cross multiply
    17,588.82x = 24,274.89 × 10,033.43
  4. Step 4: Simplify right side
    17,588.82x = 243,560,288.20
  5. Step 5: Solve for x
    x = 243,560,288.20/17,588.82
  6. Step 6: Final answer
    x = 13,847.45

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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.