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Finding the Fourth Proportional to 23,684.43, 32,684.79 and 13,074.07

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Solution

The fourth proportional to 23,684.43, 32,684.79 and 13,074.07 is: 18,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.43 : 32,684.79 = 13,074.07 : x
  2. Step 2: Convert to fraction form
    23,684.43/32,684.79 = 13,074.07/x
  3. Step 3: Cross multiply
    23,684.43x = 32,684.79 × 13,074.07
  4. Step 4: Simplify right side
    23,684.43x = 427,323,232.40
  5. Step 5: Solve for x
    x = 427,323,232.40/23,684.43
  6. Step 6: Final answer
    x = 18,042.37

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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.