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Finding the Fourth Proportional to 12,185.94, 16,825.41 and 8,006.34

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Solution

The fourth proportional to 12,185.94, 16,825.41 and 8,006.34 is: 11,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.94 : 16,825.41 = 8,006.34 : x
  2. Step 2: Convert to fraction form
    12,185.94/16,825.41 = 8,006.34/x
  3. Step 3: Cross multiply
    12,185.94x = 16,825.41 × 8,006.34
  4. Step 4: Simplify right side
    12,185.94x = 134,709,953.10
  5. Step 5: Solve for x
    x = 134,709,953.10/12,185.94
  6. Step 6: Final answer
    x = 11,054.54

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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.