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Finding the Fourth Proportional to 18,496.36, 27,758.22 and 13,578.76

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Solution

The fourth proportional to 18,496.36, 27,758.22 and 13,578.76 is: 20,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.36 : 27,758.22 = 13,578.76 : x
  2. Step 2: Convert to fraction form
    18,496.36/27,758.22 = 13,578.76/x
  3. Step 3: Cross multiply
    18,496.36x = 27,758.22 × 13,578.76
  4. Step 4: Simplify right side
    18,496.36x = 376,922,207.41
  5. Step 5: Solve for x
    x = 376,922,207.41/18,496.36
  6. Step 6: Final answer
    x = 20,378.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.