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Finding the Fourth Proportional to 27,712.35, 41,574.67 and 7,989.37

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Solution

The fourth proportional to 27,712.35, 41,574.67 and 7,989.37 is: 11,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.35 : 41,574.67 = 7,989.37 : x
  2. Step 2: Convert to fraction form
    27,712.35/41,574.67 = 7,989.37/x
  3. Step 3: Cross multiply
    27,712.35x = 41,574.67 × 7,989.37
  4. Step 4: Simplify right side
    27,712.35x = 332,155,297.35
  5. Step 5: Solve for x
    x = 332,155,297.35/27,712.35
  6. Step 6: Final answer
    x = 11,985.82

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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.