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Finding the Fourth Proportional to 16,978.20, 25,445.70 and 8,194.20

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Solution

The fourth proportional to 16,978.20, 25,445.70 and 8,194.20 is: 12,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.20 : 25,445.70 = 8,194.20 : x
  2. Step 2: Convert to fraction form
    16,978.20/25,445.70 = 8,194.20/x
  3. Step 3: Cross multiply
    16,978.20x = 25,445.70 × 8,194.20
  4. Step 4: Simplify right side
    16,978.20x = 208,507,154.94
  5. Step 5: Solve for x
    x = 208,507,154.94/16,978.20
  6. Step 6: Final answer
    x = 12,280.88

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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.