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Finding the Fourth Proportional to 27,716.67, 41,573.74 and 10,185.21

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Solution

The fourth proportional to 27,716.67, 41,573.74 and 10,185.21 is: 15,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.67 : 41,573.74 = 10,185.21 : x
  2. Step 2: Convert to fraction form
    27,716.67/41,573.74 = 10,185.21/x
  3. Step 3: Cross multiply
    27,716.67x = 41,573.74 × 10,185.21
  4. Step 4: Simplify right side
    27,716.67x = 423,437,272.39
  5. Step 5: Solve for x
    x = 423,437,272.39/27,716.67
  6. Step 6: Final answer
    x = 15,277.35

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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.