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Finding the Fourth Proportional to 13,028.09, 17,982.86 and 8,312.37

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Solution

The fourth proportional to 13,028.09, 17,982.86 and 8,312.37 is: 11,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.09 : 17,982.86 = 8,312.37 : x
  2. Step 2: Convert to fraction form
    13,028.09/17,982.86 = 8,312.37/x
  3. Step 3: Cross multiply
    13,028.09x = 17,982.86 × 8,312.37
  4. Step 4: Simplify right side
    13,028.09x = 149,480,185.98
  5. Step 5: Solve for x
    x = 149,480,185.98/13,028.09
  6. Step 6: Final answer
    x = 11,473.68

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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.