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Finding the Fourth Proportional to 11,994.32, 17,980.59 and 4,198.88

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Solution

The fourth proportional to 11,994.32, 17,980.59 and 4,198.88 is: 6,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.32 : 17,980.59 = 4,198.88 : x
  2. Step 2: Convert to fraction form
    11,994.32/17,980.59 = 4,198.88/x
  3. Step 3: Cross multiply
    11,994.32x = 17,980.59 × 4,198.88
  4. Step 4: Simplify right side
    11,994.32x = 75,498,339.74
  5. Step 5: Solve for x
    x = 75,498,339.74/11,994.32
  6. Step 6: Final answer
    x = 6,294.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.