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Finding the Fourth Proportional to 23,820.34, 32,874.04 and 13,213.40

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Solution

The fourth proportional to 23,820.34, 32,874.04 and 13,213.40 is: 18,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.34 : 32,874.04 = 13,213.40 : x
  2. Step 2: Convert to fraction form
    23,820.34/32,874.04 = 13,213.40/x
  3. Step 3: Cross multiply
    23,820.34x = 32,874.04 × 13,213.40
  4. Step 4: Simplify right side
    23,820.34x = 434,377,840.14
  5. Step 5: Solve for x
    x = 434,377,840.14/23,820.34
  6. Step 6: Final answer
    x = 18,235.59

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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.