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Finding the Fourth Proportional to 12,112.84, 18,169.62 and 3,347.83

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Solution

The fourth proportional to 12,112.84, 18,169.62 and 3,347.83 is: 5,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.84 : 18,169.62 = 3,347.83 : x
  2. Step 2: Convert to fraction form
    12,112.84/18,169.62 = 3,347.83/x
  3. Step 3: Cross multiply
    12,112.84x = 18,169.62 × 3,347.83
  4. Step 4: Simplify right side
    12,112.84x = 60,828,798.92
  5. Step 5: Solve for x
    x = 60,828,798.92/12,112.84
  6. Step 6: Final answer
    x = 5,021.84

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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.