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Finding the Fourth Proportional to 20,434.96, 28,201.54 and 11,361.34

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Solution

The fourth proportional to 20,434.96, 28,201.54 and 11,361.34 is: 15,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.96 : 28,201.54 = 11,361.34 : x
  2. Step 2: Convert to fraction form
    20,434.96/28,201.54 = 11,361.34/x
  3. Step 3: Cross multiply
    20,434.96x = 28,201.54 × 11,361.34
  4. Step 4: Simplify right side
    20,434.96x = 320,407,284.46
  5. Step 5: Solve for x
    x = 320,407,284.46/20,434.96
  6. Step 6: Final answer
    x = 15,679.37

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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.