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Finding the Fourth Proportional to 20,646.27, 30,970.08 and 8,169.44

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Solution

The fourth proportional to 20,646.27, 30,970.08 and 8,169.44 is: 12,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.27 : 30,970.08 = 8,169.44 : x
  2. Step 2: Convert to fraction form
    20,646.27/30,970.08 = 8,169.44/x
  3. Step 3: Cross multiply
    20,646.27x = 30,970.08 × 8,169.44
  4. Step 4: Simplify right side
    20,646.27x = 253,008,055.50
  5. Step 5: Solve for x
    x = 253,008,055.50/20,646.27
  6. Step 6: Final answer
    x = 12,254.42

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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.