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Finding the Fourth Proportional to 23,770.54, 32,806.77 and 13,697.05

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Solution

The fourth proportional to 23,770.54, 32,806.77 and 13,697.05 is: 18,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.54 : 32,806.77 = 13,697.05 : x
  2. Step 2: Convert to fraction form
    23,770.54/32,806.77 = 13,697.05/x
  3. Step 3: Cross multiply
    23,770.54x = 32,806.77 × 13,697.05
  4. Step 4: Simplify right side
    23,770.54x = 449,355,969.03
  5. Step 5: Solve for x
    x = 449,355,969.03/23,770.54
  6. Step 6: Final answer
    x = 18,903.90

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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.