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Finding the Fourth Proportional to 18,119.94, 27,187.72 and 9,805.80

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Solution

The fourth proportional to 18,119.94, 27,187.72 and 9,805.80 is: 14,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,119.94 : 27,187.72 = 9,805.80 : x
  2. Step 2: Convert to fraction form
    18,119.94/27,187.72 = 9,805.80/x
  3. Step 3: Cross multiply
    18,119.94x = 27,187.72 × 9,805.80
  4. Step 4: Simplify right side
    18,119.94x = 266,597,344.78
  5. Step 5: Solve for x
    x = 266,597,344.78/18,119.94
  6. Step 6: Final answer
    x = 14,712.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.