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Finding the Fourth Proportional to 12,232.74, 18,349.08 and 3,467.67

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Solution

The fourth proportional to 12,232.74, 18,349.08 and 3,467.67 is: 5,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.74 : 18,349.08 = 3,467.67 : x
  2. Step 2: Convert to fraction form
    12,232.74/18,349.08 = 3,467.67/x
  3. Step 3: Cross multiply
    12,232.74x = 18,349.08 × 3,467.67
  4. Step 4: Simplify right side
    12,232.74x = 63,628,554.24
  5. Step 5: Solve for x
    x = 63,628,554.24/12,232.74
  6. Step 6: Final answer
    x = 5,201.50

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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.