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Finding the Fourth Proportional to 12,041.66, 18,057.89 and 4,142.75

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Solution

The fourth proportional to 12,041.66, 18,057.89 and 4,142.75 is: 6,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.66 : 18,057.89 = 4,142.75 : x
  2. Step 2: Convert to fraction form
    12,041.66/18,057.89 = 4,142.75/x
  3. Step 3: Cross multiply
    12,041.66x = 18,057.89 × 4,142.75
  4. Step 4: Simplify right side
    12,041.66x = 74,809,220.56
  5. Step 5: Solve for x
    x = 74,809,220.56/12,041.66
  6. Step 6: Final answer
    x = 6,212.53

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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.