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Finding the Fourth Proportional to 23,823.90, 32,874.66 and 13,213.32

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Solution

The fourth proportional to 23,823.90, 32,874.66 and 13,213.32 is: 18,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.90 : 32,874.66 = 13,213.32 : x
  2. Step 2: Convert to fraction form
    23,823.90/32,874.66 = 13,213.32/x
  3. Step 3: Cross multiply
    23,823.90x = 32,874.66 × 13,213.32
  4. Step 4: Simplify right side
    23,823.90x = 434,383,402.47
  5. Step 5: Solve for x
    x = 434,383,402.47/23,823.90
  6. Step 6: Final answer
    x = 18,233.09

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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.