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Finding the Fourth Proportional to 12,399.48, 17,109.36 and 7,927.20

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Solution

The fourth proportional to 12,399.48, 17,109.36 and 7,927.20 is: 10,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.48 : 17,109.36 = 7,927.20 : x
  2. Step 2: Convert to fraction form
    12,399.48/17,109.36 = 7,927.20/x
  3. Step 3: Cross multiply
    12,399.48x = 17,109.36 × 7,927.20
  4. Step 4: Simplify right side
    12,399.48x = 135,629,318.59
  5. Step 5: Solve for x
    x = 135,629,318.59/12,399.48
  6. Step 6: Final answer
    x = 10,938.31

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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.