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Finding the Fourth Proportional to 12,269.94, 16,923.39 and 7,789.80

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Solution

The fourth proportional to 12,269.94, 16,923.39 and 7,789.80 is: 10,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.94 : 16,923.39 = 7,789.80 : x
  2. Step 2: Convert to fraction form
    12,269.94/16,923.39 = 7,789.80/x
  3. Step 3: Cross multiply
    12,269.94x = 16,923.39 × 7,789.80
  4. Step 4: Simplify right side
    12,269.94x = 131,829,823.42
  5. Step 5: Solve for x
    x = 131,829,823.42/12,269.94
  6. Step 6: Final answer
    x = 10,744.13

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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.