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Finding the Fourth Proportional to 12,305.06, 16,986.48 and 8,338.22

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Solution

The fourth proportional to 12,305.06, 16,986.48 and 8,338.22 is: 11,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.06 : 16,986.48 = 8,338.22 : x
  2. Step 2: Convert to fraction form
    12,305.06/16,986.48 = 8,338.22/x
  3. Step 3: Cross multiply
    12,305.06x = 16,986.48 × 8,338.22
  4. Step 4: Simplify right side
    12,305.06x = 141,637,007.27
  5. Step 5: Solve for x
    x = 141,637,007.27/12,305.06
  6. Step 6: Final answer
    x = 11,510.47

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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.