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Finding the Fourth Proportional to 23,820.70, 32,874.59 and 13,213.75

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Solution

The fourth proportional to 23,820.70, 32,874.59 and 13,213.75 is: 18,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.70 : 32,874.59 = 13,213.75 : x
  2. Step 2: Convert to fraction form
    23,820.70/32,874.59 = 13,213.75/x
  3. Step 3: Cross multiply
    23,820.70x = 32,874.59 × 13,213.75
  4. Step 4: Simplify right side
    23,820.70x = 434,396,613.61
  5. Step 5: Solve for x
    x = 434,396,613.61/23,820.70
  6. Step 6: Final answer
    x = 18,236.10

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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.