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Finding the Fourth Proportional to 19,980.46, 29,967.83 and 6,830.90

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Solution

The fourth proportional to 19,980.46, 29,967.83 and 6,830.90 is: 10,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.46 : 29,967.83 = 6,830.90 : x
  2. Step 2: Convert to fraction form
    19,980.46/29,967.83 = 6,830.90/x
  3. Step 3: Cross multiply
    19,980.46x = 29,967.83 × 6,830.90
  4. Step 4: Simplify right side
    19,980.46x = 204,707,249.95
  5. Step 5: Solve for x
    x = 204,707,249.95/19,980.46
  6. Step 6: Final answer
    x = 10,245.37

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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.