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Finding the Fourth Proportional to 27,176.96, 40,739.52 and 8,696.96

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Solution

The fourth proportional to 27,176.96, 40,739.52 and 8,696.96 is: 13,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.96 : 40,739.52 = 8,696.96 : x
  2. Step 2: Convert to fraction form
    27,176.96/40,739.52 = 8,696.96/x
  3. Step 3: Cross multiply
    27,176.96x = 40,739.52 × 8,696.96
  4. Step 4: Simplify right side
    27,176.96x = 354,309,975.86
  5. Step 5: Solve for x
    x = 354,309,975.86/27,176.96
  6. Step 6: Final answer
    x = 13,037.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.