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Finding the Fourth Proportional to 12,297.50, 18,449.44 and 3,533.10

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Solution

The fourth proportional to 12,297.50, 18,449.44 and 3,533.10 is: 5,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.50 : 18,449.44 = 3,533.10 : x
  2. Step 2: Convert to fraction form
    12,297.50/18,449.44 = 3,533.10/x
  3. Step 3: Cross multiply
    12,297.50x = 18,449.44 × 3,533.10
  4. Step 4: Simplify right side
    12,297.50x = 65,183,638.45
  5. Step 5: Solve for x
    x = 65,183,638.45/12,297.50
  6. Step 6: Final answer
    x = 5,300.56

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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.