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Finding the Fourth Proportional to 27,777.82, 41,671.06 and 9,305.50

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Solution

The fourth proportional to 27,777.82, 41,671.06 and 9,305.50 is: 13,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.82 : 41,671.06 = 9,305.50 : x
  2. Step 2: Convert to fraction form
    27,777.82/41,671.06 = 9,305.50/x
  3. Step 3: Cross multiply
    27,777.82x = 41,671.06 × 9,305.50
  4. Step 4: Simplify right side
    27,777.82x = 387,770,048.83
  5. Step 5: Solve for x
    x = 387,770,048.83/27,777.82
  6. Step 6: Final answer
    x = 13,959.70

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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.