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Finding the Fourth Proportional to 27,889.60, 41,825.52 and 9,165.28

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Solution

The fourth proportional to 27,889.60, 41,825.52 and 9,165.28 is: 13,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.60 : 41,825.52 = 9,165.28 : x
  2. Step 2: Convert to fraction form
    27,889.60/41,825.52 = 9,165.28/x
  3. Step 3: Cross multiply
    27,889.60x = 41,825.52 × 9,165.28
  4. Step 4: Simplify right side
    27,889.60x = 383,342,497.38
  5. Step 5: Solve for x
    x = 383,342,497.38/27,889.60
  6. Step 6: Final answer
    x = 13,745.00

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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.