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Finding the Fourth Proportional to 13,040.09, 17,995.21 and 7,071.74

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Solution

The fourth proportional to 13,040.09, 17,995.21 and 7,071.74 is: 9,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.09 : 17,995.21 = 7,071.74 : x
  2. Step 2: Convert to fraction form
    13,040.09/17,995.21 = 7,071.74/x
  3. Step 3: Cross multiply
    13,040.09x = 17,995.21 × 7,071.74
  4. Step 4: Simplify right side
    13,040.09x = 127,257,446.37
  5. Step 5: Solve for x
    x = 127,257,446.37/13,040.09
  6. Step 6: Final answer
    x = 9,758.94

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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.