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Finding the Fourth Proportional to 20,941.54, 28,906.05 and 13,408.16

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Solution

The fourth proportional to 20,941.54, 28,906.05 and 13,408.16 is: 18,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.54 : 28,906.05 = 13,408.16 : x
  2. Step 2: Convert to fraction form
    20,941.54/28,906.05 = 13,408.16/x
  3. Step 3: Cross multiply
    20,941.54x = 28,906.05 × 13,408.16
  4. Step 4: Simplify right side
    20,941.54x = 387,576,798.84
  5. Step 5: Solve for x
    x = 387,576,798.84/20,941.54
  6. Step 6: Final answer
    x = 18,507.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.