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Finding the Fourth Proportional to 20,219.70, 30,329.55 and 9,138.90

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Solution

The fourth proportional to 20,219.70, 30,329.55 and 9,138.90 is: 13,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.70 : 30,329.55 = 9,138.90 : x
  2. Step 2: Convert to fraction form
    20,219.70/30,329.55 = 9,138.90/x
  3. Step 3: Cross multiply
    20,219.70x = 30,329.55 × 9,138.90
  4. Step 4: Simplify right side
    20,219.70x = 277,178,724.50
  5. Step 5: Solve for x
    x = 277,178,724.50/20,219.70
  6. Step 6: Final answer
    x = 13,708.35

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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.