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Finding the Fourth Proportional to 20,838.29, 28,755.72 and 11,405.03

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Solution

The fourth proportional to 20,838.29, 28,755.72 and 11,405.03 is: 15,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.29 : 28,755.72 = 11,405.03 : x
  2. Step 2: Convert to fraction form
    20,838.29/28,755.72 = 11,405.03/x
  3. Step 3: Cross multiply
    20,838.29x = 28,755.72 × 11,405.03
  4. Step 4: Simplify right side
    20,838.29x = 327,959,705.49
  5. Step 5: Solve for x
    x = 327,959,705.49/20,838.29
  6. Step 6: Final answer
    x = 15,738.33

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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.