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Finding the Fourth Proportional to 12,446.17, 18,659.98 and 5,424.85

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Solution

The fourth proportional to 12,446.17, 18,659.98 and 5,424.85 is: 8,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.17 : 18,659.98 = 5,424.85 : x
  2. Step 2: Convert to fraction form
    12,446.17/18,659.98 = 5,424.85/x
  3. Step 3: Cross multiply
    12,446.17x = 18,659.98 × 5,424.85
  4. Step 4: Simplify right side
    12,446.17x = 101,227,592.50
  5. Step 5: Solve for x
    x = 101,227,592.50/12,446.17
  6. Step 6: Final answer
    x = 8,133.23

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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.