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Finding the Fourth Proportional to 26,650.13, 39,975.19 and 8,182.13

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Solution

The fourth proportional to 26,650.13, 39,975.19 and 8,182.13 is: 12,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650.13 : 39,975.19 = 8,182.13 : x
  2. Step 2: Convert to fraction form
    26,650.13/39,975.19 = 8,182.13/x
  3. Step 3: Cross multiply
    26,650.13x = 39,975.19 × 8,182.13
  4. Step 4: Simplify right side
    26,650.13x = 327,081,981.02
  5. Step 5: Solve for x
    x = 327,081,981.02/26,650.13
  6. Step 6: Final answer
    x = 12,273.19

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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.