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Finding the Fourth Proportional to 23,451.30, 32,361.72 and 12,840.69

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Solution

The fourth proportional to 23,451.30, 32,361.72 and 12,840.69 is: 17,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.30 : 32,361.72 = 12,840.69 : x
  2. Step 2: Convert to fraction form
    23,451.30/32,361.72 = 12,840.69/x
  3. Step 3: Cross multiply
    23,451.30x = 32,361.72 × 12,840.69
  4. Step 4: Simplify right side
    23,451.30x = 415,546,814.39
  5. Step 5: Solve for x
    x = 415,546,814.39/23,451.30
  6. Step 6: Final answer
    x = 17,719.56

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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.