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Finding the Fourth Proportional to 27,790.78, 41,693.93 and 11,162.49

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Solution

The fourth proportional to 27,790.78, 41,693.93 and 11,162.49 is: 16,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.78 : 41,693.93 = 11,162.49 : x
  2. Step 2: Convert to fraction form
    27,790.78/41,693.93 = 11,162.49/x
  3. Step 3: Cross multiply
    27,790.78x = 41,693.93 × 11,162.49
  4. Step 4: Simplify right side
    27,790.78x = 465,407,864.52
  5. Step 5: Solve for x
    x = 465,407,864.52/27,790.78
  6. Step 6: Final answer
    x = 16,746.85

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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.