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Finding the Fourth Proportional to 17,049.27, 25,573.32 and 5,202.57

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Solution

The fourth proportional to 17,049.27, 25,573.32 and 5,202.57 is: 7,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.27 : 25,573.32 = 5,202.57 : x
  2. Step 2: Convert to fraction form
    17,049.27/25,573.32 = 5,202.57/x
  3. Step 3: Cross multiply
    17,049.27x = 25,573.32 × 5,202.57
  4. Step 4: Simplify right side
    17,049.27x = 133,046,987.43
  5. Step 5: Solve for x
    x = 133,046,987.43/17,049.27
  6. Step 6: Final answer
    x = 7,803.68

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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.