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Finding the Fourth Proportional to 12,194.41, 18,291.62 and 10,358.36

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Solution

The fourth proportional to 12,194.41, 18,291.62 and 10,358.36 is: 15,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.41 : 18,291.62 = 10,358.36 : x
  2. Step 2: Convert to fraction form
    12,194.41/18,291.62 = 10,358.36/x
  3. Step 3: Cross multiply
    12,194.41x = 18,291.62 × 10,358.36
  4. Step 4: Simplify right side
    12,194.41x = 189,471,133.15
  5. Step 5: Solve for x
    x = 189,471,133.15/12,194.41
  6. Step 6: Final answer
    x = 15,537.55

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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.