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Finding the Fourth Proportional to 27,794.36, 41,691.66 and 7,017.86

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Solution

The fourth proportional to 27,794.36, 41,691.66 and 7,017.86 is: 10,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.36 : 41,691.66 = 7,017.86 : x
  2. Step 2: Convert to fraction form
    27,794.36/41,691.66 = 7,017.86/x
  3. Step 3: Cross multiply
    27,794.36x = 41,691.66 × 7,017.86
  4. Step 4: Simplify right side
    27,794.36x = 292,586,233.05
  5. Step 5: Solve for x
    x = 292,586,233.05/27,794.36
  6. Step 6: Final answer
    x = 10,526.82

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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.