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Finding the Fourth Proportional to 26,741, 40,113.66 and 8,273

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Solution

The fourth proportional to 26,741, 40,113.66 and 8,273 is: 12,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741 : 40,113.66 = 8,273 : x
  2. Step 2: Convert to fraction form
    26,741/40,113.66 = 8,273/x
  3. Step 3: Cross multiply
    26,741x = 40,113.66 × 8,273
  4. Step 4: Simplify right side
    26,741x = 331,860,309.18
  5. Step 5: Solve for x
    x = 331,860,309.18/26,741
  6. Step 6: Final answer
    x = 12,410.17

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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.