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Finding the Fourth Proportional to 12,299.48, 18,451.92 and 3,980.34

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Solution

The fourth proportional to 12,299.48, 18,451.92 and 3,980.34 is: 5,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.48 : 18,451.92 = 3,980.34 : x
  2. Step 2: Convert to fraction form
    12,299.48/18,451.92 = 3,980.34/x
  3. Step 3: Cross multiply
    12,299.48x = 18,451.92 × 3,980.34
  4. Step 4: Simplify right side
    12,299.48x = 73,444,907.79
  5. Step 5: Solve for x
    x = 73,444,907.79/12,299.48
  6. Step 6: Final answer
    x = 5,971.38

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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.