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Finding the Fourth Proportional to 14,794.20, 20,414.16 and 8,421.62

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Solution

The fourth proportional to 14,794.20, 20,414.16 and 8,421.62 is: 11,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.20 : 20,414.16 = 8,421.62 : x
  2. Step 2: Convert to fraction form
    14,794.20/20,414.16 = 8,421.62/x
  3. Step 3: Cross multiply
    14,794.20x = 20,414.16 × 8,421.62
  4. Step 4: Simplify right side
    14,794.20x = 171,920,196.07
  5. Step 5: Solve for x
    x = 171,920,196.07/14,794.20
  6. Step 6: Final answer
    x = 11,620.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.