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Finding the Fourth Proportional to 12,321, 18,481.32 and 5,743.50

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Solution

The fourth proportional to 12,321, 18,481.32 and 5,743.50 is: 8,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321 : 18,481.32 = 5,743.50 : x
  2. Step 2: Convert to fraction form
    12,321/18,481.32 = 5,743.50/x
  3. Step 3: Cross multiply
    12,321x = 18,481.32 × 5,743.50
  4. Step 4: Simplify right side
    12,321x = 106,147,461.42
  5. Step 5: Solve for x
    x = 106,147,461.42/12,321
  6. Step 6: Final answer
    x = 8,615.17

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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.