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Finding the Fourth Proportional to 19,704.26, 29,544.48 and 7,859.84

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Solution

The fourth proportional to 19,704.26, 29,544.48 and 7,859.84 is: 11,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.26 : 29,544.48 = 7,859.84 : x
  2. Step 2: Convert to fraction form
    19,704.26/29,544.48 = 7,859.84/x
  3. Step 3: Cross multiply
    19,704.26x = 29,544.48 × 7,859.84
  4. Step 4: Simplify right side
    19,704.26x = 232,214,737.96
  5. Step 5: Solve for x
    x = 232,214,737.96/19,704.26
  6. Step 6: Final answer
    x = 11,785.00

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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.