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Finding the Fourth Proportional to 12,174.54, 18,260.38 and 3,410.16

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Solution

The fourth proportional to 12,174.54, 18,260.38 and 3,410.16 is: 5,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.54 : 18,260.38 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    12,174.54/18,260.38 = 3,410.16/x
  3. Step 3: Cross multiply
    12,174.54x = 18,260.38 × 3,410.16
  4. Step 4: Simplify right side
    12,174.54x = 62,270,817.46
  5. Step 5: Solve for x
    x = 62,270,817.46/12,174.54
  6. Step 6: Final answer
    x = 5,114.84

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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.