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Finding the Fourth Proportional to 13,039.37, 17,994.23 and 7,071.05

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Solution

The fourth proportional to 13,039.37, 17,994.23 and 7,071.05 is: 9,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.37 : 17,994.23 = 7,071.05 : x
  2. Step 2: Convert to fraction form
    13,039.37/17,994.23 = 7,071.05/x
  3. Step 3: Cross multiply
    13,039.37x = 17,994.23 × 7,071.05
  4. Step 4: Simplify right side
    13,039.37x = 127,237,974.72
  5. Step 5: Solve for x
    x = 127,237,974.72/13,039.37
  6. Step 6: Final answer
    x = 9,757.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.