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Finding the Fourth Proportional to 27,712.72, 41,575.23 and 7,989.74

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Solution

The fourth proportional to 27,712.72, 41,575.23 and 7,989.74 is: 11,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.72 : 41,575.23 = 7,989.74 : x
  2. Step 2: Convert to fraction form
    27,712.72/41,575.23 = 7,989.74/x
  3. Step 3: Cross multiply
    27,712.72x = 41,575.23 × 7,989.74
  4. Step 4: Simplify right side
    27,712.72x = 332,175,226.17
  5. Step 5: Solve for x
    x = 332,175,226.17/27,712.72
  6. Step 6: Final answer
    x = 11,986.38

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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.