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Finding the Fourth Proportional to 12,231.01, 18,349.60 and 3,466

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Solution

The fourth proportional to 12,231.01, 18,349.60 and 3,466 is: 5,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.01 : 18,349.60 = 3,466 : x
  2. Step 2: Convert to fraction form
    12,231.01/18,349.60 = 3,466/x
  3. Step 3: Cross multiply
    12,231.01x = 18,349.60 × 3,466
  4. Step 4: Simplify right side
    12,231.01x = 63,599,713.60
  5. Step 5: Solve for x
    x = 63,599,713.60/12,231.01
  6. Step 6: Final answer
    x = 5,199.87

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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.