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Finding the Fourth Proportional to 14,361.41, 21,520.11 and 9,664.01

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Solution

The fourth proportional to 14,361.41, 21,520.11 and 9,664.01 is: 14,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.41 : 21,520.11 = 9,664.01 : x
  2. Step 2: Convert to fraction form
    14,361.41/21,520.11 = 9,664.01/x
  3. Step 3: Cross multiply
    14,361.41x = 21,520.11 × 9,664.01
  4. Step 4: Simplify right side
    14,361.41x = 207,970,450.64
  5. Step 5: Solve for x
    x = 207,970,450.64/14,361.41
  6. Step 6: Final answer
    x = 14,481.21

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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.