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Finding the Fourth Proportional to 23,361.78, 32,234.85 and 13,931.22

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Solution

The fourth proportional to 23,361.78, 32,234.85 and 13,931.22 is: 19,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.78 : 32,234.85 = 13,931.22 : x
  2. Step 2: Convert to fraction form
    23,361.78/32,234.85 = 13,931.22/x
  3. Step 3: Cross multiply
    23,361.78x = 32,234.85 × 13,931.22
  4. Step 4: Simplify right side
    23,361.78x = 449,070,787.02
  5. Step 5: Solve for x
    x = 449,070,787.02/23,361.78
  6. Step 6: Final answer
    x = 19,222.46

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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.