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Finding the Fourth Proportional to 13,679.20, 18,876.16 and 7,712.33

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Solution

The fourth proportional to 13,679.20, 18,876.16 and 7,712.33 is: 10,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.20 : 18,876.16 = 7,712.33 : x
  2. Step 2: Convert to fraction form
    13,679.20/18,876.16 = 7,712.33/x
  3. Step 3: Cross multiply
    13,679.20x = 18,876.16 × 7,712.33
  4. Step 4: Simplify right side
    13,679.20x = 145,579,136.49
  5. Step 5: Solve for x
    x = 145,579,136.49/13,679.20
  6. Step 6: Final answer
    x = 10,642.38

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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.