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Finding the Fourth Proportional to 30,938.64, 42,694.24 and 16,791.20

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Solution

The fourth proportional to 30,938.64, 42,694.24 and 16,791.20 is: 23,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.64 : 42,694.24 = 16,791.20 : x
  2. Step 2: Convert to fraction form
    30,938.64/42,694.24 = 16,791.20/x
  3. Step 3: Cross multiply
    30,938.64x = 42,694.24 × 16,791.20
  4. Step 4: Simplify right side
    30,938.64x = 716,887,522.69
  5. Step 5: Solve for x
    x = 716,887,522.69/30,938.64
  6. Step 6: Final answer
    x = 23,171.27

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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.