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Finding the Fourth Proportional to 20,138.94, 30,194.64 and 9,600.84

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Solution

The fourth proportional to 20,138.94, 30,194.64 and 9,600.84 is: 14,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.94 : 30,194.64 = 9,600.84 : x
  2. Step 2: Convert to fraction form
    20,138.94/30,194.64 = 9,600.84/x
  3. Step 3: Cross multiply
    20,138.94x = 30,194.64 × 9,600.84
  4. Step 4: Simplify right side
    20,138.94x = 289,893,907.50
  5. Step 5: Solve for x
    x = 289,893,907.50/20,138.94
  6. Step 6: Final answer
    x = 14,394.70

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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.