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Finding the Fourth Proportional to 29,406.54, 40,567.32 and 16,824

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Solution

The fourth proportional to 29,406.54, 40,567.32 and 16,824 is: 23,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.54 : 40,567.32 = 16,824 : x
  2. Step 2: Convert to fraction form
    29,406.54/40,567.32 = 16,824/x
  3. Step 3: Cross multiply
    29,406.54x = 40,567.32 × 16,824
  4. Step 4: Simplify right side
    29,406.54x = 682,504,591.68
  5. Step 5: Solve for x
    x = 682,504,591.68/29,406.54
  6. Step 6: Final answer
    x = 23,209.28

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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.