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Finding the Fourth Proportional to 23,684.56, 32,684.96 and 13,074.20

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Solution

The fourth proportional to 23,684.56, 32,684.96 and 13,074.20 is: 18,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.56 : 32,684.96 = 13,074.20 : x
  2. Step 2: Convert to fraction form
    23,684.56/32,684.96 = 13,074.20/x
  3. Step 3: Cross multiply
    23,684.56x = 32,684.96 × 13,074.20
  4. Step 4: Simplify right side
    23,684.56x = 427,329,704.03
  5. Step 5: Solve for x
    x = 427,329,704.03/23,684.56
  6. Step 6: Final answer
    x = 18,042.54

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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.