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Finding the Fourth Proportional to 12,774.41, 19,164.50 and 3,890.54

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Solution

The fourth proportional to 12,774.41, 19,164.50 and 3,890.54 is: 5,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.41 : 19,164.50 = 3,890.54 : x
  2. Step 2: Convert to fraction form
    12,774.41/19,164.50 = 3,890.54/x
  3. Step 3: Cross multiply
    12,774.41x = 19,164.50 × 3,890.54
  4. Step 4: Simplify right side
    12,774.41x = 74,560,311.47
  5. Step 5: Solve for x
    x = 74,560,311.47/12,774.41
  6. Step 6: Final answer
    x = 5,836.69

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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.