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Finding the Fourth Proportional to 12,434.45, 18,644.22 and 8,436.74

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Solution

The fourth proportional to 12,434.45, 18,644.22 and 8,436.74 is: 12,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.45 : 18,644.22 = 8,436.74 : x
  2. Step 2: Convert to fraction form
    12,434.45/18,644.22 = 8,436.74/x
  3. Step 3: Cross multiply
    12,434.45x = 18,644.22 × 8,436.74
  4. Step 4: Simplify right side
    12,434.45x = 157,296,436.64
  5. Step 5: Solve for x
    x = 157,296,436.64/12,434.45
  6. Step 6: Final answer
    x = 12,650.05

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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.