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Finding the Fourth Proportional to 12,033.26, 16,599.23 and 6,996.93

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Solution

The fourth proportional to 12,033.26, 16,599.23 and 6,996.93 is: 9,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.26 : 16,599.23 = 6,996.93 : x
  2. Step 2: Convert to fraction form
    12,033.26/16,599.23 = 6,996.93/x
  3. Step 3: Cross multiply
    12,033.26x = 16,599.23 × 6,996.93
  4. Step 4: Simplify right side
    12,033.26x = 116,143,567.37
  5. Step 5: Solve for x
    x = 116,143,567.37/12,033.26
  6. Step 6: Final answer
    x = 9,651.88

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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.