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Finding the Fourth Proportional to 24,189.45, 33,380.49 and 13,434.81

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Solution

The fourth proportional to 24,189.45, 33,380.49 and 13,434.81 is: 18,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.45 : 33,380.49 = 13,434.81 : x
  2. Step 2: Convert to fraction form
    24,189.45/33,380.49 = 13,434.81/x
  3. Step 3: Cross multiply
    24,189.45x = 33,380.49 × 13,434.81
  4. Step 4: Simplify right side
    24,189.45x = 448,460,540.86
  5. Step 5: Solve for x
    x = 448,460,540.86/24,189.45
  6. Step 6: Final answer
    x = 18,539.51

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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.