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Finding the Fourth Proportional to 16,129.86, 24,192.96 and 5,597.94

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Solution

The fourth proportional to 16,129.86, 24,192.96 and 5,597.94 is: 8,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.86 : 24,192.96 = 5,597.94 : x
  2. Step 2: Convert to fraction form
    16,129.86/24,192.96 = 5,597.94/x
  3. Step 3: Cross multiply
    16,129.86x = 24,192.96 × 5,597.94
  4. Step 4: Simplify right side
    16,129.86x = 135,430,738.50
  5. Step 5: Solve for x
    x = 135,430,738.50/16,129.86
  6. Step 6: Final answer
    x = 8,396.27

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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.