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Finding the Fourth Proportional to 23,450.02, 32,361.03 and 12,840.31

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Solution

The fourth proportional to 23,450.02, 32,361.03 and 12,840.31 is: 17,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,450.02 : 32,361.03 = 12,840.31 : x
  2. Step 2: Convert to fraction form
    23,450.02/32,361.03 = 12,840.31/x
  3. Step 3: Cross multiply
    23,450.02x = 32,361.03 × 12,840.31
  4. Step 4: Simplify right side
    23,450.02x = 415,525,657.12
  5. Step 5: Solve for x
    x = 415,525,657.12/23,450.02
  6. Step 6: Final answer
    x = 17,719.63

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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.