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Finding the Fourth Proportional to 18,630.27, 27,947.90 and 6,782.50

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Solution

The fourth proportional to 18,630.27, 27,947.90 and 6,782.50 is: 10,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,630.27 : 27,947.90 = 6,782.50 : x
  2. Step 2: Convert to fraction form
    18,630.27/27,947.90 = 6,782.50/x
  3. Step 3: Cross multiply
    18,630.27x = 27,947.90 × 6,782.50
  4. Step 4: Simplify right side
    18,630.27x = 189,556,683.64
  5. Step 5: Solve for x
    x = 189,556,683.64/18,630.27
  6. Step 6: Final answer
    x = 10,174.66

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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.