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Finding the Fourth Proportional to 24,416.40, 33,694.56 and 13,238.40

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Solution

The fourth proportional to 24,416.40, 33,694.56 and 13,238.40 is: 18,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.40 : 33,694.56 = 13,238.40 : x
  2. Step 2: Convert to fraction form
    24,416.40/33,694.56 = 13,238.40/x
  3. Step 3: Cross multiply
    24,416.40x = 33,694.56 × 13,238.40
  4. Step 4: Simplify right side
    24,416.40x = 446,062,063.10
  5. Step 5: Solve for x
    x = 446,062,063.10/24,416.40
  6. Step 6: Final answer
    x = 18,268.95

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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.