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Finding the Fourth Proportional to 23,824.22, 32,877.02 and 13,213.60

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Solution

The fourth proportional to 23,824.22, 32,877.02 and 13,213.60 is: 18,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.22 : 32,877.02 = 13,213.60 : x
  2. Step 2: Convert to fraction form
    23,824.22/32,877.02 = 13,213.60/x
  3. Step 3: Cross multiply
    23,824.22x = 32,877.02 × 13,213.60
  4. Step 4: Simplify right side
    23,824.22x = 434,423,791.47
  5. Step 5: Solve for x
    x = 434,423,791.47/23,824.22
  6. Step 6: Final answer
    x = 18,234.54

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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.