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Finding the Fourth Proportional to 25,182.64, 34,750.97 and 13,851.42

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Solution

The fourth proportional to 25,182.64, 34,750.97 and 13,851.42 is: 19,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.64 : 34,750.97 = 13,851.42 : x
  2. Step 2: Convert to fraction form
    25,182.64/34,750.97 = 13,851.42/x
  3. Step 3: Cross multiply
    25,182.64x = 34,750.97 × 13,851.42
  4. Step 4: Simplify right side
    25,182.64x = 481,350,260.03
  5. Step 5: Solve for x
    x = 481,350,260.03/25,182.64
  6. Step 6: Final answer
    x = 19,114.37

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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.