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Finding the Fourth Proportional to 24,268.02, 33,489.80 and 13,657.67

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Solution

The fourth proportional to 24,268.02, 33,489.80 and 13,657.67 is: 18,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268.02 : 33,489.80 = 13,657.67 : x
  2. Step 2: Convert to fraction form
    24,268.02/33,489.80 = 13,657.67/x
  3. Step 3: Cross multiply
    24,268.02x = 33,489.80 × 13,657.67
  4. Step 4: Simplify right side
    24,268.02x = 457,392,401.03
  5. Step 5: Solve for x
    x = 457,392,401.03/24,268.02
  6. Step 6: Final answer
    x = 18,847.54

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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.