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Finding the Fourth Proportional to 13,171.95, 19,745.78 and 4,847.38

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Solution

The fourth proportional to 13,171.95, 19,745.78 and 4,847.38 is: 7,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.95 : 19,745.78 = 4,847.38 : x
  2. Step 2: Convert to fraction form
    13,171.95/19,745.78 = 4,847.38/x
  3. Step 3: Cross multiply
    13,171.95x = 19,745.78 × 4,847.38
  4. Step 4: Simplify right side
    13,171.95x = 95,715,225.46
  5. Step 5: Solve for x
    x = 95,715,225.46/13,171.95
  6. Step 6: Final answer
    x = 7,266.59

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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.