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Finding the Fourth Proportional to 12,149.51, 18,224.33 and 3,384.44

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Solution

The fourth proportional to 12,149.51, 18,224.33 and 3,384.44 is: 5,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.51 : 18,224.33 = 3,384.44 : x
  2. Step 2: Convert to fraction form
    12,149.51/18,224.33 = 3,384.44/x
  3. Step 3: Cross multiply
    12,149.51x = 18,224.33 × 3,384.44
  4. Step 4: Simplify right side
    12,149.51x = 61,679,151.43
  5. Step 5: Solve for x
    x = 61,679,151.43/12,149.51
  6. Step 6: Final answer
    x = 5,076.68

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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.