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Finding the Fourth Proportional to 12,174.80, 18,262.14 and 2,940.80

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Solution

The fourth proportional to 12,174.80, 18,262.14 and 2,940.80 is: 4,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.80 : 18,262.14 = 2,940.80 : x
  2. Step 2: Convert to fraction form
    12,174.80/18,262.14 = 2,940.80/x
  3. Step 3: Cross multiply
    12,174.80x = 18,262.14 × 2,940.80
  4. Step 4: Simplify right side
    12,174.80x = 53,705,301.31
  5. Step 5: Solve for x
    x = 53,705,301.31/12,174.80
  6. Step 6: Final answer
    x = 4,411.19

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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.