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Finding the Fourth Proportional to 20,579.14, 30,847.52 and 8,094.10

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Solution

The fourth proportional to 20,579.14, 30,847.52 and 8,094.10 is: 12,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.14 : 30,847.52 = 8,094.10 : x
  2. Step 2: Convert to fraction form
    20,579.14/30,847.52 = 8,094.10/x
  3. Step 3: Cross multiply
    20,579.14x = 30,847.52 × 8,094.10
  4. Step 4: Simplify right side
    20,579.14x = 249,682,911.63
  5. Step 5: Solve for x
    x = 249,682,911.63/20,579.14
  6. Step 6: Final answer
    x = 12,132.82

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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.