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Finding the Fourth Proportional to 16,201.55, 24,305.72 and 6,841.60

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Solution

The fourth proportional to 16,201.55, 24,305.72 and 6,841.60 is: 10,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.55 : 24,305.72 = 6,841.60 : x
  2. Step 2: Convert to fraction form
    16,201.55/24,305.72 = 6,841.60/x
  3. Step 3: Cross multiply
    16,201.55x = 24,305.72 × 6,841.60
  4. Step 4: Simplify right side
    16,201.55x = 166,289,918.98
  5. Step 5: Solve for x
    x = 166,289,918.98/16,201.55
  6. Step 6: Final answer
    x = 10,263.83

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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.