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Finding the Fourth Proportional to 27,417.24, 41,125.86 and 6,640.74

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Solution

The fourth proportional to 27,417.24, 41,125.86 and 6,640.74 is: 9,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.24 : 41,125.86 = 6,640.74 : x
  2. Step 2: Convert to fraction form
    27,417.24/41,125.86 = 6,640.74/x
  3. Step 3: Cross multiply
    27,417.24x = 41,125.86 × 6,640.74
  4. Step 4: Simplify right side
    27,417.24x = 273,106,143.54
  5. Step 5: Solve for x
    x = 273,106,143.54/27,417.24
  6. Step 6: Final answer
    x = 9,961.11

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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.