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Finding the Fourth Proportional to 13,285, 18,334.38 and 7,696

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Solution

The fourth proportional to 13,285, 18,334.38 and 7,696 is: 10,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285 : 18,334.38 = 7,696 : x
  2. Step 2: Convert to fraction form
    13,285/18,334.38 = 7,696/x
  3. Step 3: Cross multiply
    13,285x = 18,334.38 × 7,696
  4. Step 4: Simplify right side
    13,285x = 141,101,388.48
  5. Step 5: Solve for x
    x = 141,101,388.48/13,285
  6. Step 6: Final answer
    x = 10,621.11

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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.