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Finding the Fourth Proportional to 27,442.64, 41,165.60 and 7,722.72

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Solution

The fourth proportional to 27,442.64, 41,165.60 and 7,722.72 is: 11,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.64 : 41,165.60 = 7,722.72 : x
  2. Step 2: Convert to fraction form
    27,442.64/41,165.60 = 7,722.72/x
  3. Step 3: Cross multiply
    27,442.64x = 41,165.60 × 7,722.72
  4. Step 4: Simplify right side
    27,442.64x = 317,910,402.43
  5. Step 5: Solve for x
    x = 317,910,402.43/27,442.64
  6. Step 6: Final answer
    x = 11,584.54

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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.