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Finding the Fourth Proportional to 17,006.56, 25,504.17 and 7,144.00

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Solution

The fourth proportional to 17,006.56, 25,504.17 and 7,144.00 is: 10,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.56 : 25,504.17 = 7,144.00 : x
  2. Step 2: Convert to fraction form
    17,006.56/25,504.17 = 7,144.00/x
  3. Step 3: Cross multiply
    17,006.56x = 25,504.17 × 7,144.00
  4. Step 4: Simplify right side
    17,006.56x = 182,201,699.93
  5. Step 5: Solve for x
    x = 182,201,699.93/17,006.56
  6. Step 6: Final answer
    x = 10,713.61

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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.