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Finding the Fourth Proportional to 27,455.52, 41,188.14 and 9,949.80

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Solution

The fourth proportional to 27,455.52, 41,188.14 and 9,949.80 is: 14,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,455.52 : 41,188.14 = 9,949.80 : x
  2. Step 2: Convert to fraction form
    27,455.52/41,188.14 = 9,949.80/x
  3. Step 3: Cross multiply
    27,455.52x = 41,188.14 × 9,949.80
  4. Step 4: Simplify right side
    27,455.52x = 409,813,755.37
  5. Step 5: Solve for x
    x = 409,813,755.37/27,455.52
  6. Step 6: Final answer
    x = 14,926.46

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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.