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Finding the Fourth Proportional to 27,138.92, 40,710.96 and 8,419.16

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Solution

The fourth proportional to 27,138.92, 40,710.96 and 8,419.16 is: 12,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.92 : 40,710.96 = 8,419.16 : x
  2. Step 2: Convert to fraction form
    27,138.92/40,710.96 = 8,419.16/x
  3. Step 3: Cross multiply
    27,138.92x = 40,710.96 × 8,419.16
  4. Step 4: Simplify right side
    27,138.92x = 342,752,085.99
  5. Step 5: Solve for x
    x = 342,752,085.99/27,138.92
  6. Step 6: Final answer
    x = 12,629.54

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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.