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Finding the Fourth Proportional to 12,909, 19,363.52 and 3,181

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Solution

The fourth proportional to 12,909, 19,363.52 and 3,181 is: 4,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909 : 19,363.52 = 3,181 : x
  2. Step 2: Convert to fraction form
    12,909/19,363.52 = 3,181/x
  3. Step 3: Cross multiply
    12,909x = 19,363.52 × 3,181
  4. Step 4: Simplify right side
    12,909x = 61,595,357.12
  5. Step 5: Solve for x
    x = 61,595,357.12/12,909
  6. Step 6: Final answer
    x = 4,771.50

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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.