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Finding the Fourth Proportional to 12,289.94, 18,431.86 and 5,269.16

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Solution

The fourth proportional to 12,289.94, 18,431.86 and 5,269.16 is: 7,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.94 : 18,431.86 = 5,269.16 : x
  2. Step 2: Convert to fraction form
    12,289.94/18,431.86 = 5,269.16/x
  3. Step 3: Cross multiply
    12,289.94x = 18,431.86 × 5,269.16
  4. Step 4: Simplify right side
    12,289.94x = 97,120,300.93
  5. Step 5: Solve for x
    x = 97,120,300.93/12,289.94
  6. Step 6: Final answer
    x = 7,902.43

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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.