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Finding the Fourth Proportional to 12,012, 16,576.52 and 6,706.48

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Solution

The fourth proportional to 12,012, 16,576.52 and 6,706.48 is: 9,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012 : 16,576.52 = 6,706.48 : x
  2. Step 2: Convert to fraction form
    12,012/16,576.52 = 6,706.48/x
  3. Step 3: Cross multiply
    12,012x = 16,576.52 × 6,706.48
  4. Step 4: Simplify right side
    12,012x = 111,170,099.85
  5. Step 5: Solve for x
    x = 111,170,099.85/12,012
  6. Step 6: Final answer
    x = 9,254.92

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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.