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Finding the Fourth Proportional to 12,986.72, 17,921.42 and 7,321.40

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Solution

The fourth proportional to 12,986.72, 17,921.42 and 7,321.40 is: 10,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.72 : 17,921.42 = 7,321.40 : x
  2. Step 2: Convert to fraction form
    12,986.72/17,921.42 = 7,321.40/x
  3. Step 3: Cross multiply
    12,986.72x = 17,921.42 × 7,321.40
  4. Step 4: Simplify right side
    12,986.72x = 131,209,884.39
  5. Step 5: Solve for x
    x = 131,209,884.39/12,986.72
  6. Step 6: Final answer
    x = 10,103.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.