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Finding the Fourth Proportional to 27,889.68, 41,825.64 and 9,165.39

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Solution

The fourth proportional to 27,889.68, 41,825.64 and 9,165.39 is: 13,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.68 : 41,825.64 = 9,165.39 : x
  2. Step 2: Convert to fraction form
    27,889.68/41,825.64 = 9,165.39/x
  3. Step 3: Cross multiply
    27,889.68x = 41,825.64 × 9,165.39
  4. Step 4: Simplify right side
    27,889.68x = 383,348,302.60
  5. Step 5: Solve for x
    x = 383,348,302.60/27,889.68
  6. Step 6: Final answer
    x = 13,745.17

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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.