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Finding the Fourth Proportional to 23,722.57, 32,740.40 and 13,650.80

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Solution

The fourth proportional to 23,722.57, 32,740.40 and 13,650.80 is: 18,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.57 : 32,740.40 = 13,650.80 : x
  2. Step 2: Convert to fraction form
    23,722.57/32,740.40 = 13,650.80/x
  3. Step 3: Cross multiply
    23,722.57x = 32,740.40 × 13,650.80
  4. Step 4: Simplify right side
    23,722.57x = 446,932,584.07
  5. Step 5: Solve for x
    x = 446,932,584.07/23,722.57
  6. Step 6: Final answer
    x = 18,839.98

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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.