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Finding the Fourth Proportional to 17,239.04, 25,858.56 and 8,000

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Solution

The fourth proportional to 17,239.04, 25,858.56 and 8,000 is: 12,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239.04 : 25,858.56 = 8,000 : x
  2. Step 2: Convert to fraction form
    17,239.04/25,858.56 = 8,000/x
  3. Step 3: Cross multiply
    17,239.04x = 25,858.56 × 8,000
  4. Step 4: Simplify right side
    17,239.04x = 206,868,480
  5. Step 5: Solve for x
    x = 206,868,480/17,239.04
  6. Step 6: Final answer
    x = 12,000

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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.