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Finding the Fourth Proportional to 20,137.30, 30,205.95 and 13,138.90

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Solution

The fourth proportional to 20,137.30, 30,205.95 and 13,138.90 is: 19,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.30 : 30,205.95 = 13,138.90 : x
  2. Step 2: Convert to fraction form
    20,137.30/30,205.95 = 13,138.90/x
  3. Step 3: Cross multiply
    20,137.30x = 30,205.95 × 13,138.90
  4. Step 4: Simplify right side
    20,137.30x = 396,872,956.46
  5. Step 5: Solve for x
    x = 396,872,956.46/20,137.30
  6. Step 6: Final answer
    x = 19,708.35

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1.5x scale

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.