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Finding the Fourth Proportional to 19,578.84, 27,014.12 and 11,922.02

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Solution

The fourth proportional to 19,578.84, 27,014.12 and 11,922.02 is: 16,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.84 : 27,014.12 = 11,922.02 : x
  2. Step 2: Convert to fraction form
    19,578.84/27,014.12 = 11,922.02/x
  3. Step 3: Cross multiply
    19,578.84x = 27,014.12 × 11,922.02
  4. Step 4: Simplify right side
    19,578.84x = 322,062,878.92
  5. Step 5: Solve for x
    x = 322,062,878.92/19,578.84
  6. Step 6: Final answer
    x = 16,449.54

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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.