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Finding the Fourth Proportional to 23,851.97, 35,777.95 and 13,463.72

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Solution

The fourth proportional to 23,851.97, 35,777.95 and 13,463.72 is: 20,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.97 : 35,777.95 = 13,463.72 : x
  2. Step 2: Convert to fraction form
    23,851.97/35,777.95 = 13,463.72/x
  3. Step 3: Cross multiply
    23,851.97x = 35,777.95 × 13,463.72
  4. Step 4: Simplify right side
    23,851.97x = 481,704,298.33
  5. Step 5: Solve for x
    x = 481,704,298.33/23,851.97
  6. Step 6: Final answer
    x = 20,195.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.