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Finding the Fourth Proportional to 20,056.85, 30,114.84 and 11,189.50

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Solution

The fourth proportional to 20,056.85, 30,114.84 and 11,189.50 is: 16,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.85 : 30,114.84 = 11,189.50 : x
  2. Step 2: Convert to fraction form
    20,056.85/30,114.84 = 11,189.50/x
  3. Step 3: Cross multiply
    20,056.85x = 30,114.84 × 11,189.50
  4. Step 4: Simplify right side
    20,056.85x = 336,970,002.18
  5. Step 5: Solve for x
    x = 336,970,002.18/20,056.85
  6. Step 6: Final answer
    x = 16,800.74

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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.