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Finding the Fourth Proportional to 12,434.56, 18,653.05 and 3,671.98

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Solution

The fourth proportional to 12,434.56, 18,653.05 and 3,671.98 is: 5,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.56 : 18,653.05 = 3,671.98 : x
  2. Step 2: Convert to fraction form
    12,434.56/18,653.05 = 3,671.98/x
  3. Step 3: Cross multiply
    12,434.56x = 18,653.05 × 3,671.98
  4. Step 4: Simplify right side
    12,434.56x = 68,493,584.50
  5. Step 5: Solve for x
    x = 68,493,584.50/12,434.56
  6. Step 6: Final answer
    x = 5,508.33

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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.