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Finding the Fourth Proportional to 27,602.25, 41,403.78 and 6,825.75

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Solution

The fourth proportional to 27,602.25, 41,403.78 and 6,825.75 is: 10,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.25 : 41,403.78 = 6,825.75 : x
  2. Step 2: Convert to fraction form
    27,602.25/41,403.78 = 6,825.75/x
  3. Step 3: Cross multiply
    27,602.25x = 41,403.78 × 6,825.75
  4. Step 4: Simplify right side
    27,602.25x = 282,611,851.34
  5. Step 5: Solve for x
    x = 282,611,851.34/27,602.25
  6. Step 6: Final answer
    x = 10,238.73

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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.