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Finding the Fourth Proportional to 25,647.39, 38,476.05 and 9,851.25

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Solution

The fourth proportional to 25,647.39, 38,476.05 and 9,851.25 is: 14,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.39 : 38,476.05 = 9,851.25 : x
  2. Step 2: Convert to fraction form
    25,647.39/38,476.05 = 9,851.25/x
  3. Step 3: Cross multiply
    25,647.39x = 38,476.05 × 9,851.25
  4. Step 4: Simplify right side
    25,647.39x = 379,037,187.56
  5. Step 5: Solve for x
    x = 379,037,187.56/25,647.39
  6. Step 6: Final answer
    x = 14,778.78

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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.