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Finding the Fourth Proportional to 27,339.30, 41,007.74 and 7,617.42

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Solution

The fourth proportional to 27,339.30, 41,007.74 and 7,617.42 is: 11,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,339.30 : 41,007.74 = 7,617.42 : x
  2. Step 2: Convert to fraction form
    27,339.30/41,007.74 = 7,617.42/x
  3. Step 3: Cross multiply
    27,339.30x = 41,007.74 × 7,617.42
  4. Step 4: Simplify right side
    27,339.30x = 312,373,140.74
  5. Step 5: Solve for x
    x = 312,373,140.74/27,339.30
  6. Step 6: Final answer
    x = 11,425.79

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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.