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Finding the Fourth Proportional to 26,586.44, 39,878.22 and 8,117

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Solution

The fourth proportional to 26,586.44, 39,878.22 and 8,117 is: 12,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586.44 : 39,878.22 = 8,117 : x
  2. Step 2: Convert to fraction form
    26,586.44/39,878.22 = 8,117/x
  3. Step 3: Cross multiply
    26,586.44x = 39,878.22 × 8,117
  4. Step 4: Simplify right side
    26,586.44x = 323,691,511.74
  5. Step 5: Solve for x
    x = 323,691,511.74/26,586.44
  6. Step 6: Final answer
    x = 12,175.06

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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.