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Finding the Fourth Proportional to 12,201.94, 16,836.69 and 7,165.77

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Solution

The fourth proportional to 12,201.94, 16,836.69 and 7,165.77 is: 9,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.94 : 16,836.69 = 7,165.77 : x
  2. Step 2: Convert to fraction form
    12,201.94/16,836.69 = 7,165.77/x
  3. Step 3: Cross multiply
    12,201.94x = 16,836.69 × 7,165.77
  4. Step 4: Simplify right side
    12,201.94x = 120,647,848.10
  5. Step 5: Solve for x
    x = 120,647,848.10/12,201.94
  6. Step 6: Final answer
    x = 9,887.60

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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.