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Finding the Fourth Proportional to 12,012.22, 16,576.32 and 6,706

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Solution

The fourth proportional to 12,012.22, 16,576.32 and 6,706 is: 9,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.22 : 16,576.32 = 6,706 : x
  2. Step 2: Convert to fraction form
    12,012.22/16,576.32 = 6,706/x
  3. Step 3: Cross multiply
    12,012.22x = 16,576.32 × 6,706
  4. Step 4: Simplify right side
    12,012.22x = 111,160,801.92
  5. Step 5: Solve for x
    x = 111,160,801.92/12,012.22
  6. Step 6: Final answer
    x = 9,253.98

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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.