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Finding the Fourth Proportional to 12,804.34, 19,193.44 and 8,127.80

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Solution

The fourth proportional to 12,804.34, 19,193.44 and 8,127.80 is: 12,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.34 : 19,193.44 = 8,127.80 : x
  2. Step 2: Convert to fraction form
    12,804.34/19,193.44 = 8,127.80/x
  3. Step 3: Cross multiply
    12,804.34x = 19,193.44 × 8,127.80
  4. Step 4: Simplify right side
    12,804.34x = 156,000,400.99
  5. Step 5: Solve for x
    x = 156,000,400.99/12,804.34
  6. Step 6: Final answer
    x = 12,183.41

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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.