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Finding the Fourth Proportional to 12,313.50, 18,472.97 and 4,921.44

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Solution

The fourth proportional to 12,313.50, 18,472.97 and 4,921.44 is: 7,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.50 : 18,472.97 = 4,921.44 : x
  2. Step 2: Convert to fraction form
    12,313.50/18,472.97 = 4,921.44/x
  3. Step 3: Cross multiply
    12,313.50x = 18,472.97 × 4,921.44
  4. Step 4: Simplify right side
    12,313.50x = 90,913,613.48
  5. Step 5: Solve for x
    x = 90,913,613.48/12,313.50
  6. Step 6: Final answer
    x = 7,383.25

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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.