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Finding the Fourth Proportional to 23,824.52, 32,878.90 and 13,213.44

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Solution

The fourth proportional to 23,824.52, 32,878.90 and 13,213.44 is: 18,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.52 : 32,878.90 = 13,213.44 : x
  2. Step 2: Convert to fraction form
    23,824.52/32,878.90 = 13,213.44/x
  3. Step 3: Cross multiply
    23,824.52x = 32,878.90 × 13,213.44
  4. Step 4: Simplify right side
    23,824.52x = 434,443,372.42
  5. Step 5: Solve for x
    x = 434,443,372.42/23,824.52
  6. Step 6: Final answer
    x = 18,235.14

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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.