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Finding the Fourth Proportional to 25,851.26, 38,775.55 and 7,131.46

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Solution

The fourth proportional to 25,851.26, 38,775.55 and 7,131.46 is: 10,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.26 : 38,775.55 = 7,131.46 : x
  2. Step 2: Convert to fraction form
    25,851.26/38,775.55 = 7,131.46/x
  3. Step 3: Cross multiply
    25,851.26x = 38,775.55 × 7,131.46
  4. Step 4: Simplify right side
    25,851.26x = 276,526,283.80
  5. Step 5: Solve for x
    x = 276,526,283.80/25,851.26
  6. Step 6: Final answer
    x = 10,696.82

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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.