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Finding the Fourth Proportional to 18,506.94, 27,760.86 and 7,261.80

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Solution

The fourth proportional to 18,506.94, 27,760.86 and 7,261.80 is: 10,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.94 : 27,760.86 = 7,261.80 : x
  2. Step 2: Convert to fraction form
    18,506.94/27,760.86 = 7,261.80/x
  3. Step 3: Cross multiply
    18,506.94x = 27,760.86 × 7,261.80
  4. Step 4: Simplify right side
    18,506.94x = 201,593,813.15
  5. Step 5: Solve for x
    x = 201,593,813.15/18,506.94
  6. Step 6: Final answer
    x = 10,892.88

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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.