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Finding the Fourth Proportional to 20,380.98, 30,551.85 and 11,140.50

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Solution

The fourth proportional to 20,380.98, 30,551.85 and 11,140.50 is: 16,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.98 : 30,551.85 = 11,140.50 : x
  2. Step 2: Convert to fraction form
    20,380.98/30,551.85 = 11,140.50/x
  3. Step 3: Cross multiply
    20,380.98x = 30,551.85 × 11,140.50
  4. Step 4: Simplify right side
    20,380.98x = 340,362,884.93
  5. Step 5: Solve for x
    x = 340,362,884.93/20,380.98
  6. Step 6: Final answer
    x = 16,700.03

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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.