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Finding the Fourth Proportional to 27,745.86, 41,601.78 and 12,957.96

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Solution

The fourth proportional to 27,745.86, 41,601.78 and 12,957.96 is: 19,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.86 : 41,601.78 = 12,957.96 : x
  2. Step 2: Convert to fraction form
    27,745.86/41,601.78 = 12,957.96/x
  3. Step 3: Cross multiply
    27,745.86x = 41,601.78 × 12,957.96
  4. Step 4: Simplify right side
    27,745.86x = 539,074,201.17
  5. Step 5: Solve for x
    x = 539,074,201.17/27,745.86
  6. Step 6: Final answer
    x = 19,429.00

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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.