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Finding the Fourth Proportional to 19,578.72, 29,361.84 and 6,428.12

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Solution

The fourth proportional to 19,578.72, 29,361.84 and 6,428.12 is: 9,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.72 : 29,361.84 = 6,428.12 : x
  2. Step 2: Convert to fraction form
    19,578.72/29,361.84 = 6,428.12/x
  3. Step 3: Cross multiply
    19,578.72x = 29,361.84 × 6,428.12
  4. Step 4: Simplify right side
    19,578.72x = 188,741,430.94
  5. Step 5: Solve for x
    x = 188,741,430.94/19,578.72
  6. Step 6: Final answer
    x = 9,640.13

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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.