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Finding the Fourth Proportional to 18,658.50, 27,987.96 and 7,983.41

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Solution

The fourth proportional to 18,658.50, 27,987.96 and 7,983.41 is: 11,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.50 : 27,987.96 = 7,983.41 : x
  2. Step 2: Convert to fraction form
    18,658.50/27,987.96 = 7,983.41/x
  3. Step 3: Cross multiply
    18,658.50x = 27,987.96 × 7,983.41
  4. Step 4: Simplify right side
    18,658.50x = 223,439,407.17
  5. Step 5: Solve for x
    x = 223,439,407.17/18,658.50
  6. Step 6: Final answer
    x = 11,975.21

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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.