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Finding the Fourth Proportional to 20,049.40, 30,138.90 and 14,246.20

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Solution

The fourth proportional to 20,049.40, 30,138.90 and 14,246.20 is: 21,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.40 : 30,138.90 = 14,246.20 : x
  2. Step 2: Convert to fraction form
    20,049.40/30,138.90 = 14,246.20/x
  3. Step 3: Cross multiply
    20,049.40x = 30,138.90 × 14,246.20
  4. Step 4: Simplify right side
    20,049.40x = 429,364,797.18
  5. Step 5: Solve for x
    x = 429,364,797.18/20,049.40
  6. Step 6: Final answer
    x = 21,415.34

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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.