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Finding the Fourth Proportional to 16,199.34, 24,283.22 and 7,879.02

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Solution

The fourth proportional to 16,199.34, 24,283.22 and 7,879.02 is: 11,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.34 : 24,283.22 = 7,879.02 : x
  2. Step 2: Convert to fraction form
    16,199.34/24,283.22 = 7,879.02/x
  3. Step 3: Cross multiply
    16,199.34x = 24,283.22 × 7,879.02
  4. Step 4: Simplify right side
    16,199.34x = 191,327,936.65
  5. Step 5: Solve for x
    x = 191,327,936.65/16,199.34
  6. Step 6: Final answer
    x = 11,810.85

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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.