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Finding the Fourth Proportional to 26,585.44, 39,876.72 and 8,116

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Solution

The fourth proportional to 26,585.44, 39,876.72 and 8,116 is: 12,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.44 : 39,876.72 = 8,116 : x
  2. Step 2: Convert to fraction form
    26,585.44/39,876.72 = 8,116/x
  3. Step 3: Cross multiply
    26,585.44x = 39,876.72 × 8,116
  4. Step 4: Simplify right side
    26,585.44x = 323,639,459.52
  5. Step 5: Solve for x
    x = 323,639,459.52/26,585.44
  6. Step 6: Final answer
    x = 12,173.56

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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.