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Finding the Fourth Proportional to 23,451.40, 32,361.94 and 12,840.84

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Solution

The fourth proportional to 23,451.40, 32,361.94 and 12,840.84 is: 17,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.40 : 32,361.94 = 12,840.84 : x
  2. Step 2: Convert to fraction form
    23,451.40/32,361.94 = 12,840.84/x
  3. Step 3: Cross multiply
    23,451.40x = 32,361.94 × 12,840.84
  4. Step 4: Simplify right side
    23,451.40x = 415,554,493.63
  5. Step 5: Solve for x
    x = 415,554,493.63/23,451.40
  6. Step 6: Final answer
    x = 17,719.82

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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.