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Finding the Fourth Proportional to 12,141.90, 18,202.05 and 4,744.68

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Solution

The fourth proportional to 12,141.90, 18,202.05 and 4,744.68 is: 7,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.90 : 18,202.05 = 4,744.68 : x
  2. Step 2: Convert to fraction form
    12,141.90/18,202.05 = 4,744.68/x
  3. Step 3: Cross multiply
    12,141.90x = 18,202.05 × 4,744.68
  4. Step 4: Simplify right side
    12,141.90x = 86,362,902.59
  5. Step 5: Solve for x
    x = 86,362,902.59/12,141.90
  6. Step 6: Final answer
    x = 7,112.80

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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.