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Finding the Fourth Proportional to 27,502.69, 41,253.61 and 8,782.61

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Solution

The fourth proportional to 27,502.69, 41,253.61 and 8,782.61 is: 13,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.69 : 41,253.61 = 8,782.61 : x
  2. Step 2: Convert to fraction form
    27,502.69/41,253.61 = 8,782.61/x
  3. Step 3: Cross multiply
    27,502.69x = 41,253.61 × 8,782.61
  4. Step 4: Simplify right side
    27,502.69x = 362,314,367.72
  5. Step 5: Solve for x
    x = 362,314,367.72/27,502.69
  6. Step 6: Final answer
    x = 13,173.78

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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.