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Finding the Fourth Proportional to 20,205.50, 30,336.19 and 13,950.07

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Solution

The fourth proportional to 20,205.50, 30,336.19 and 13,950.07 is: 20,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.50 : 30,336.19 = 13,950.07 : x
  2. Step 2: Convert to fraction form
    20,205.50/30,336.19 = 13,950.07/x
  3. Step 3: Cross multiply
    20,205.50x = 30,336.19 × 13,950.07
  4. Step 4: Simplify right side
    20,205.50x = 423,191,863.32
  5. Step 5: Solve for x
    x = 423,191,863.32/20,205.50
  6. Step 6: Final answer
    x = 20,944.39

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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.