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Finding the Fourth Proportional to 26,967, 40,450.50 and 8,499

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Solution

The fourth proportional to 26,967, 40,450.50 and 8,499 is: 12,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,967 : 40,450.50 = 8,499 : x
  2. Step 2: Convert to fraction form
    26,967/40,450.50 = 8,499/x
  3. Step 3: Cross multiply
    26,967x = 40,450.50 × 8,499
  4. Step 4: Simplify right side
    26,967x = 343,788,799.50
  5. Step 5: Solve for x
    x = 343,788,799.50/26,967
  6. Step 6: Final answer
    x = 12,748.50

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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.