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Finding the Fourth Proportional to 21,519.50, 32,280.47 and 7,668.50

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Solution

The fourth proportional to 21,519.50, 32,280.47 and 7,668.50 is: 11,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519.50 : 32,280.47 = 7,668.50 : x
  2. Step 2: Convert to fraction form
    21,519.50/32,280.47 = 7,668.50/x
  3. Step 3: Cross multiply
    21,519.50x = 32,280.47 × 7,668.50
  4. Step 4: Simplify right side
    21,519.50x = 247,542,745.85
  5. Step 5: Solve for x
    x = 247,542,745.85/21,519.50
  6. Step 6: Final answer
    x = 11,503.18

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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.