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Finding the Fourth Proportional to 12,187.02, 16,817.84 and 7,995

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Solution

The fourth proportional to 12,187.02, 16,817.84 and 7,995 is: 11,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.02 : 16,817.84 = 7,995 : x
  2. Step 2: Convert to fraction form
    12,187.02/16,817.84 = 7,995/x
  3. Step 3: Cross multiply
    12,187.02x = 16,817.84 × 7,995
  4. Step 4: Simplify right side
    12,187.02x = 134,458,630.80
  5. Step 5: Solve for x
    x = 134,458,630.80/12,187.02
  6. Step 6: Final answer
    x = 11,032.94

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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.