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Finding the Fourth Proportional to 16,199.23, 24,255.02 and 8,391.64

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Solution

The fourth proportional to 16,199.23, 24,255.02 and 8,391.64 is: 12,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.23 : 24,255.02 = 8,391.64 : x
  2. Step 2: Convert to fraction form
    16,199.23/24,255.02 = 8,391.64/x
  3. Step 3: Cross multiply
    16,199.23x = 24,255.02 × 8,391.64
  4. Step 4: Simplify right side
    16,199.23x = 203,539,396.03
  5. Step 5: Solve for x
    x = 203,539,396.03/16,199.23
  6. Step 6: Final answer
    x = 12,564.76

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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.