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Finding the Fourth Proportional to 16,198.70, 24,262.79 and 7,861.11

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Solution

The fourth proportional to 16,198.70, 24,262.79 and 7,861.11 is: 11,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.70 : 24,262.79 = 7,861.11 : x
  2. Step 2: Convert to fraction form
    16,198.70/24,262.79 = 7,861.11/x
  3. Step 3: Cross multiply
    16,198.70x = 24,262.79 × 7,861.11
  4. Step 4: Simplify right side
    16,198.70x = 190,732,421.79
  5. Step 5: Solve for x
    x = 190,732,421.79/16,198.70
  6. Step 6: Final answer
    x = 11,774.55

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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.