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Finding the Fourth Proportional to 26,927, 40,397.06 and 8,459

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Solution

The fourth proportional to 26,927, 40,397.06 and 8,459 is: 12,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927 : 40,397.06 = 8,459 : x
  2. Step 2: Convert to fraction form
    26,927/40,397.06 = 8,459/x
  3. Step 3: Cross multiply
    26,927x = 40,397.06 × 8,459
  4. Step 4: Simplify right side
    26,927x = 341,718,730.54
  5. Step 5: Solve for x
    x = 341,718,730.54/26,927
  6. Step 6: Final answer
    x = 12,690.56

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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.