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Finding the Fourth Proportional to 23,823.73, 32,878.02 and 13,213.09

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Solution

The fourth proportional to 23,823.73, 32,878.02 and 13,213.09 is: 18,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.73 : 32,878.02 = 13,213.09 : x
  2. Step 2: Convert to fraction form
    23,823.73/32,878.02 = 13,213.09/x
  3. Step 3: Cross multiply
    23,823.73x = 32,878.02 × 13,213.09
  4. Step 4: Simplify right side
    23,823.73x = 434,420,237.28
  5. Step 5: Solve for x
    x = 434,420,237.28/23,823.73
  6. Step 6: Final answer
    x = 18,234.77

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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.