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Finding the Fourth Proportional to 8,159.17, 12,236.54 and 2,234.63

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Solution

The fourth proportional to 8,159.17, 12,236.54 and 2,234.63 is: 3,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.17 : 12,236.54 = 2,234.63 : x
  2. Step 2: Convert to fraction form
    8,159.17/12,236.54 = 2,234.63/x
  3. Step 3: Cross multiply
    8,159.17x = 12,236.54 × 2,234.63
  4. Step 4: Simplify right side
    8,159.17x = 27,344,118.08
  5. Step 5: Solve for x
    x = 27,344,118.08/8,159.17
  6. Step 6: Final answer
    x = 3,351.34

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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.