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Finding the Fourth Proportional to 12,011.92, 16,576.08 and 6,706.63

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Solution

The fourth proportional to 12,011.92, 16,576.08 and 6,706.63 is: 9,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.92 : 16,576.08 = 6,706.63 : x
  2. Step 2: Convert to fraction form
    12,011.92/16,576.08 = 6,706.63/x
  3. Step 3: Cross multiply
    12,011.92x = 16,576.08 × 6,706.63
  4. Step 4: Simplify right side
    12,011.92x = 111,169,635.41
  5. Step 5: Solve for x
    x = 111,169,635.41/12,011.92
  6. Step 6: Final answer
    x = 9,254.94

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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.