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Finding the Fourth Proportional to 23,684.72, 32,684.83 and 13,074.27

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Solution

The fourth proportional to 23,684.72, 32,684.83 and 13,074.27 is: 18,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.72 : 32,684.83 = 13,074.27 : x
  2. Step 2: Convert to fraction form
    23,684.72/32,684.83 = 13,074.27/x
  3. Step 3: Cross multiply
    23,684.72x = 32,684.83 × 13,074.27
  4. Step 4: Simplify right side
    23,684.72x = 427,330,226.95
  5. Step 5: Solve for x
    x = 427,330,226.95/23,684.72
  6. Step 6: Final answer
    x = 18,042.45

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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.