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Finding the Fourth Proportional to 12,162.68, 18,244.44 and 10,419.46

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Solution

The fourth proportional to 12,162.68, 18,244.44 and 10,419.46 is: 15,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.68 : 18,244.44 = 10,419.46 : x
  2. Step 2: Convert to fraction form
    12,162.68/18,244.44 = 10,419.46/x
  3. Step 3: Cross multiply
    12,162.68x = 18,244.44 × 10,419.46
  4. Step 4: Simplify right side
    12,162.68x = 190,097,212.80
  5. Step 5: Solve for x
    x = 190,097,212.80/12,162.68
  6. Step 6: Final answer
    x = 15,629.55

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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.