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Finding the Fourth Proportional to 14,140.67, 19,511.96 and 8,171.18

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Solution

The fourth proportional to 14,140.67, 19,511.96 and 8,171.18 is: 11,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.67 : 19,511.96 = 8,171.18 : x
  2. Step 2: Convert to fraction form
    14,140.67/19,511.96 = 8,171.18/x
  3. Step 3: Cross multiply
    14,140.67x = 19,511.96 × 8,171.18
  4. Step 4: Simplify right side
    14,140.67x = 159,435,745.24
  5. Step 5: Solve for x
    x = 159,435,745.24/14,140.67
  6. Step 6: Final answer
    x = 11,274.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.