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Finding the Fourth Proportional to 13,388.20, 18,472.38 and 7,724.68

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Solution

The fourth proportional to 13,388.20, 18,472.38 and 7,724.68 is: 10,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.20 : 18,472.38 = 7,724.68 : x
  2. Step 2: Convert to fraction form
    13,388.20/18,472.38 = 7,724.68/x
  3. Step 3: Cross multiply
    13,388.20x = 18,472.38 × 7,724.68
  4. Step 4: Simplify right side
    13,388.20x = 142,693,224.34
  5. Step 5: Solve for x
    x = 142,693,224.34/13,388.20
  6. Step 6: Final answer
    x = 10,658.13

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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.