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Finding the Fourth Proportional to 12,012.81, 16,576.92 and 6,706.59

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Solution

The fourth proportional to 12,012.81, 16,576.92 and 6,706.59 is: 9,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.81 : 16,576.92 = 6,706.59 : x
  2. Step 2: Convert to fraction form
    12,012.81/16,576.92 = 6,706.59/x
  3. Step 3: Cross multiply
    12,012.81x = 16,576.92 × 6,706.59
  4. Step 4: Simplify right side
    12,012.81x = 111,174,605.90
  5. Step 5: Solve for x
    x = 111,174,605.90/12,012.81
  6. Step 6: Final answer
    x = 9,254.67

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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.