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Finding the Fourth Proportional to 20,496.63, 30,675.50 and 12,604.14

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Solution

The fourth proportional to 20,496.63, 30,675.50 and 12,604.14 is: 18,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.63 : 30,675.50 = 12,604.14 : x
  2. Step 2: Convert to fraction form
    20,496.63/30,675.50 = 12,604.14/x
  3. Step 3: Cross multiply
    20,496.63x = 30,675.50 × 12,604.14
  4. Step 4: Simplify right side
    20,496.63x = 386,638,296.57
  5. Step 5: Solve for x
    x = 386,638,296.57/20,496.63
  6. Step 6: Final answer
    x = 18,863.51

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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.