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Finding the Fourth Proportional to 24,612.75, 33,966.42 and 13,434.75

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Solution

The fourth proportional to 24,612.75, 33,966.42 and 13,434.75 is: 18,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.75 : 33,966.42 = 13,434.75 : x
  2. Step 2: Convert to fraction form
    24,612.75/33,966.42 = 13,434.75/x
  3. Step 3: Cross multiply
    24,612.75x = 33,966.42 × 13,434.75
  4. Step 4: Simplify right side
    24,612.75x = 456,330,361.10
  5. Step 5: Solve for x
    x = 456,330,361.10/24,612.75
  6. Step 6: Final answer
    x = 18,540.41

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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.