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Finding the Fourth Proportional to 12,196.84, 18,295.26 and 3,431.76

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Solution

The fourth proportional to 12,196.84, 18,295.26 and 3,431.76 is: 5,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.84 : 18,295.26 = 3,431.76 : x
  2. Step 2: Convert to fraction form
    12,196.84/18,295.26 = 3,431.76/x
  3. Step 3: Cross multiply
    12,196.84x = 18,295.26 × 3,431.76
  4. Step 4: Simplify right side
    12,196.84x = 62,784,941.46
  5. Step 5: Solve for x
    x = 62,784,941.46/12,196.84
  6. Step 6: Final answer
    x = 5,147.64

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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.