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Finding the Fourth Proportional to 12,185.79, 16,816.50 and 6,596.79

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Solution

The fourth proportional to 12,185.79, 16,816.50 and 6,596.79 is: 9,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.79 : 16,816.50 = 6,596.79 : x
  2. Step 2: Convert to fraction form
    12,185.79/16,816.50 = 6,596.79/x
  3. Step 3: Cross multiply
    12,185.79x = 16,816.50 × 6,596.79
  4. Step 4: Simplify right side
    12,185.79x = 110,934,919.04
  5. Step 5: Solve for x
    x = 110,934,919.04/12,185.79
  6. Step 6: Final answer
    x = 9,103.63

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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.