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Finding the Fourth Proportional to 23,361.14, 32,238.46 and 12,751

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Solution

The fourth proportional to 23,361.14, 32,238.46 and 12,751 is: 17,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.14 : 32,238.46 = 12,751 : x
  2. Step 2: Convert to fraction form
    23,361.14/32,238.46 = 12,751/x
  3. Step 3: Cross multiply
    23,361.14x = 32,238.46 × 12,751
  4. Step 4: Simplify right side
    23,361.14x = 411,072,603.46
  5. Step 5: Solve for x
    x = 411,072,603.46/23,361.14
  6. Step 6: Final answer
    x = 17,596.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.