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Finding the Fourth Proportional to 21,441.72, 32,175.24 and 11,962

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Solution

The fourth proportional to 21,441.72, 32,175.24 and 11,962 is: 17,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.72 : 32,175.24 = 11,962 : x
  2. Step 2: Convert to fraction form
    21,441.72/32,175.24 = 11,962/x
  3. Step 3: Cross multiply
    21,441.72x = 32,175.24 × 11,962
  4. Step 4: Simplify right side
    21,441.72x = 384,880,220.88
  5. Step 5: Solve for x
    x = 384,880,220.88/21,441.72
  6. Step 6: Final answer
    x = 17,950.06

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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.