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Finding the Fourth Proportional to 27,133.93, 40,698.87 and 8,414.11

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Solution

The fourth proportional to 27,133.93, 40,698.87 and 8,414.11 is: 12,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.93 : 40,698.87 = 8,414.11 : x
  2. Step 2: Convert to fraction form
    27,133.93/40,698.87 = 8,414.11/x
  3. Step 3: Cross multiply
    27,133.93x = 40,698.87 × 8,414.11
  4. Step 4: Simplify right side
    27,133.93x = 342,444,769.06
  5. Step 5: Solve for x
    x = 342,444,769.06/27,133.93
  6. Step 6: Final answer
    x = 12,620.54

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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.