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Finding the Fourth Proportional to 19,704.46, 29,531.02 and 8,004

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Solution

The fourth proportional to 19,704.46, 29,531.02 and 8,004 is: 11,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.46 : 29,531.02 = 8,004 : x
  2. Step 2: Convert to fraction form
    19,704.46/29,531.02 = 8,004/x
  3. Step 3: Cross multiply
    19,704.46x = 29,531.02 × 8,004
  4. Step 4: Simplify right side
    19,704.46x = 236,366,284.08
  5. Step 5: Solve for x
    x = 236,366,284.08/19,704.46
  6. Step 6: Final answer
    x = 11,995.57

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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.