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Finding the Fourth Proportional to 20,227.64, 30,354.98 and 7,080.02

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Solution

The fourth proportional to 20,227.64, 30,354.98 and 7,080.02 is: 10,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.64 : 30,354.98 = 7,080.02 : x
  2. Step 2: Convert to fraction form
    20,227.64/30,354.98 = 7,080.02/x
  3. Step 3: Cross multiply
    20,227.64x = 30,354.98 × 7,080.02
  4. Step 4: Simplify right side
    20,227.64x = 214,913,865.50
  5. Step 5: Solve for x
    x = 214,913,865.50/20,227.64
  6. Step 6: Final answer
    x = 10,624.76

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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.