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Finding the Fourth Proportional to 25,851.06, 38,775.78 and 7,383.06

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Solution

The fourth proportional to 25,851.06, 38,775.78 and 7,383.06 is: 11,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.06 : 38,775.78 = 7,383.06 : x
  2. Step 2: Convert to fraction form
    25,851.06/38,775.78 = 7,383.06/x
  3. Step 3: Cross multiply
    25,851.06x = 38,775.78 × 7,383.06
  4. Step 4: Simplify right side
    25,851.06x = 286,283,910.29
  5. Step 5: Solve for x
    x = 286,283,910.29/25,851.06
  6. Step 6: Final answer
    x = 11,074.36

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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.