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Finding the Fourth Proportional to 14,780.39, 20,396.12 and 8,406.10

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Solution

The fourth proportional to 14,780.39, 20,396.12 and 8,406.10 is: 11,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.39 : 20,396.12 = 8,406.10 : x
  2. Step 2: Convert to fraction form
    14,780.39/20,396.12 = 8,406.10/x
  3. Step 3: Cross multiply
    14,780.39x = 20,396.12 × 8,406.10
  4. Step 4: Simplify right side
    14,780.39x = 171,451,722.35
  5. Step 5: Solve for x
    x = 171,451,722.35/14,780.39
  6. Step 6: Final answer
    x = 11,599.95

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Why These Related Problems?

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