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Finding the Fourth Proportional to 23,198.96, 34,798.44 and 8,405.12

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Solution

The fourth proportional to 23,198.96, 34,798.44 and 8,405.12 is: 12,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.96 : 34,798.44 = 8,405.12 : x
  2. Step 2: Convert to fraction form
    23,198.96/34,798.44 = 8,405.12/x
  3. Step 3: Cross multiply
    23,198.96x = 34,798.44 × 8,405.12
  4. Step 4: Simplify right side
    23,198.96x = 292,485,064.01
  5. Step 5: Solve for x
    x = 292,485,064.01/23,198.96
  6. Step 6: Final answer
    x = 12,607.68

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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.