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Finding the Fourth Proportional to 11,806.43, 17,617.56 and 10,758.50

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Solution

The fourth proportional to 11,806.43, 17,617.56 and 10,758.50 is: 16,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.43 : 17,617.56 = 10,758.50 : x
  2. Step 2: Convert to fraction form
    11,806.43/17,617.56 = 10,758.50/x
  3. Step 3: Cross multiply
    11,806.43x = 17,617.56 × 10,758.50
  4. Step 4: Simplify right side
    11,806.43x = 189,538,431.17
  5. Step 5: Solve for x
    x = 189,538,431.17/11,806.43
  6. Step 6: Final answer
    x = 16,053.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.