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Finding the Fourth Proportional to 27,405.69, 37,825.70 and 17,327.67

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Solution

The fourth proportional to 27,405.69, 37,825.70 and 17,327.67 is: 23,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.69 : 37,825.70 = 17,327.67 : x
  2. Step 2: Convert to fraction form
    27,405.69/37,825.70 = 17,327.67/x
  3. Step 3: Cross multiply
    27,405.69x = 37,825.70 × 17,327.67
  4. Step 4: Simplify right side
    27,405.69x = 655,431,160.48
  5. Step 5: Solve for x
    x = 655,431,160.48/27,405.69
  6. Step 6: Final answer
    x = 23,915.88

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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.