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Finding the Fourth Proportional to 12,289.02, 16,958.07 and 8,102.94

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Solution

The fourth proportional to 12,289.02, 16,958.07 and 8,102.94 is: 11,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.02 : 16,958.07 = 8,102.94 : x
  2. Step 2: Convert to fraction form
    12,289.02/16,958.07 = 8,102.94/x
  3. Step 3: Cross multiply
    12,289.02x = 16,958.07 × 8,102.94
  4. Step 4: Simplify right side
    12,289.02x = 137,410,223.73
  5. Step 5: Solve for x
    x = 137,410,223.73/12,289.02
  6. Step 6: Final answer
    x = 11,181.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.