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Finding the Fourth Proportional to 12,466.54, 18,699.70 and 3,106.49

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Solution

The fourth proportional to 12,466.54, 18,699.70 and 3,106.49 is: 4,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.54 : 18,699.70 = 3,106.49 : x
  2. Step 2: Convert to fraction form
    12,466.54/18,699.70 = 3,106.49/x
  3. Step 3: Cross multiply
    12,466.54x = 18,699.70 × 3,106.49
  4. Step 4: Simplify right side
    12,466.54x = 58,090,431.05
  5. Step 5: Solve for x
    x = 58,090,431.05/12,466.54
  6. Step 6: Final answer
    x = 4,659.71

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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.