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Finding the Fourth Proportional to 26,964.56, 40,446.84 and 8,498

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Solution

The fourth proportional to 26,964.56, 40,446.84 and 8,498 is: 12,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964.56 : 40,446.84 = 8,498 : x
  2. Step 2: Convert to fraction form
    26,964.56/40,446.84 = 8,498/x
  3. Step 3: Cross multiply
    26,964.56x = 40,446.84 × 8,498
  4. Step 4: Simplify right side
    26,964.56x = 343,717,246.32
  5. Step 5: Solve for x
    x = 343,717,246.32/26,964.56
  6. Step 6: Final answer
    x = 12,747

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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.