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Finding the Fourth Proportional to 12,284.69, 18,425.23 and 6,043.02

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Solution

The fourth proportional to 12,284.69, 18,425.23 and 6,043.02 is: 9,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.69 : 18,425.23 = 6,043.02 : x
  2. Step 2: Convert to fraction form
    12,284.69/18,425.23 = 6,043.02/x
  3. Step 3: Cross multiply
    12,284.69x = 18,425.23 × 6,043.02
  4. Step 4: Simplify right side
    12,284.69x = 111,344,033.39
  5. Step 5: Solve for x
    x = 111,344,033.39/12,284.69
  6. Step 6: Final answer
    x = 9,063.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.