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Finding the Fourth Proportional to 21,632, 29,852.16 and 11,696

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Solution

The fourth proportional to 21,632, 29,852.16 and 11,696 is: 16,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632 : 29,852.16 = 11,696 : x
  2. Step 2: Convert to fraction form
    21,632/29,852.16 = 11,696/x
  3. Step 3: Cross multiply
    21,632x = 29,852.16 × 11,696
  4. Step 4: Simplify right side
    21,632x = 349,150,863.36
  5. Step 5: Solve for x
    x = 349,150,863.36/21,632
  6. Step 6: Final answer
    x = 16,140.48

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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.