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Finding the Fourth Proportional to 35,206.26, 52,817.22 and 11,832

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Solution

The fourth proportional to 35,206.26, 52,817.22 and 11,832 is: 17,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.26 : 52,817.22 = 11,832 : x
  2. Step 2: Convert to fraction form
    35,206.26/52,817.22 = 11,832/x
  3. Step 3: Cross multiply
    35,206.26x = 52,817.22 × 11,832
  4. Step 4: Simplify right side
    35,206.26x = 624,933,347.04
  5. Step 5: Solve for x
    x = 624,933,347.04/35,206.26
  6. Step 6: Final answer
    x = 17,750.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.