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Finding the Fourth Proportional to 12,986.06, 17,922.31 and 7,321.88

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Solution

The fourth proportional to 12,986.06, 17,922.31 and 7,321.88 is: 10,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.06 : 17,922.31 = 7,321.88 : x
  2. Step 2: Convert to fraction form
    12,986.06/17,922.31 = 7,321.88/x
  3. Step 3: Cross multiply
    12,986.06x = 17,922.31 × 7,321.88
  4. Step 4: Simplify right side
    12,986.06x = 131,225,029.64
  5. Step 5: Solve for x
    x = 131,225,029.64/12,986.06
  6. Step 6: Final answer
    x = 10,105.07

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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.