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Finding the Fourth Proportional to 12,223.98, 18,344.71 and 5,208.91

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Solution

The fourth proportional to 12,223.98, 18,344.71 and 5,208.91 is: 7,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.98 : 18,344.71 = 5,208.91 : x
  2. Step 2: Convert to fraction form
    12,223.98/18,344.71 = 5,208.91/x
  3. Step 3: Cross multiply
    12,223.98x = 18,344.71 × 5,208.91
  4. Step 4: Simplify right side
    12,223.98x = 95,555,943.37
  5. Step 5: Solve for x
    x = 95,555,943.37/12,223.98
  6. Step 6: Final answer
    x = 7,817.09

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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.