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Finding the Fourth Proportional to 12,349.80, 18,522.54 and 3,583.80

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Solution

The fourth proportional to 12,349.80, 18,522.54 and 3,583.80 is: 5,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.80 : 18,522.54 = 3,583.80 : x
  2. Step 2: Convert to fraction form
    12,349.80/18,522.54 = 3,583.80/x
  3. Step 3: Cross multiply
    12,349.80x = 18,522.54 × 3,583.80
  4. Step 4: Simplify right side
    12,349.80x = 66,381,078.85
  5. Step 5: Solve for x
    x = 66,381,078.85/12,349.80
  6. Step 6: Final answer
    x = 5,375.07

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Why These Related Problems?

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