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Finding the Fourth Proportional to 12,195.74, 18,291.96 and 3,431.40

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Solution

The fourth proportional to 12,195.74, 18,291.96 and 3,431.40 is: 5,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.74 : 18,291.96 = 3,431.40 : x
  2. Step 2: Convert to fraction form
    12,195.74/18,291.96 = 3,431.40/x
  3. Step 3: Cross multiply
    12,195.74x = 18,291.96 × 3,431.40
  4. Step 4: Simplify right side
    12,195.74x = 62,767,031.54
  5. Step 5: Solve for x
    x = 62,767,031.54/12,195.74
  6. Step 6: Final answer
    x = 5,146.64

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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.