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Finding the Fourth Proportional to 12,325, 18,487.32 and 5,747.50

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Solution

The fourth proportional to 12,325, 18,487.32 and 5,747.50 is: 8,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 18,487.32 = 5,747.50 : x
  2. Step 2: Convert to fraction form
    12,325/18,487.32 = 5,747.50/x
  3. Step 3: Cross multiply
    12,325x = 18,487.32 × 5,747.50
  4. Step 4: Simplify right side
    12,325x = 106,255,871.70
  5. Step 5: Solve for x
    x = 106,255,871.70/12,325
  6. Step 6: Final answer
    x = 8,621.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.