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Finding the Fourth Proportional to 12,235.94, 16,885.40 and 6,858.36

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Solution

The fourth proportional to 12,235.94, 16,885.40 and 6,858.36 is: 9,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.94 : 16,885.40 = 6,858.36 : x
  2. Step 2: Convert to fraction form
    12,235.94/16,885.40 = 6,858.36/x
  3. Step 3: Cross multiply
    12,235.94x = 16,885.40 × 6,858.36
  4. Step 4: Simplify right side
    12,235.94x = 115,806,169.09
  5. Step 5: Solve for x
    x = 115,806,169.09/12,235.94
  6. Step 6: Final answer
    x = 9,464.43

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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.