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Finding the Fourth Proportional to 12,096, 16,675.20 and 8,567.28

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Solution

The fourth proportional to 12,096, 16,675.20 and 8,567.28 is: 11,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 16,675.20 = 8,567.28 : x
  2. Step 2: Convert to fraction form
    12,096/16,675.20 = 8,567.28/x
  3. Step 3: Cross multiply
    12,096x = 16,675.20 × 8,567.28
  4. Step 4: Simplify right side
    12,096x = 142,861,107.46
  5. Step 5: Solve for x
    x = 142,861,107.46/12,096
  6. Step 6: Final answer
    x = 11,810.61

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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.