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Finding the Fourth Proportional to 12,319.14, 18,487.02 and 5,745.96

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Solution

The fourth proportional to 12,319.14, 18,487.02 and 5,745.96 is: 8,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.14 : 18,487.02 = 5,745.96 : x
  2. Step 2: Convert to fraction form
    12,319.14/18,487.02 = 5,745.96/x
  3. Step 3: Cross multiply
    12,319.14x = 18,487.02 × 5,745.96
  4. Step 4: Simplify right side
    12,319.14x = 106,225,677.44
  5. Step 5: Solve for x
    x = 106,225,677.44/12,319.14
  6. Step 6: Final answer
    x = 8,622.82

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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.