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Finding the Fourth Proportional to 30,306.26, 41,825.88 and 17,741.54

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Solution

The fourth proportional to 30,306.26, 41,825.88 and 17,741.54 is: 24,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.26 : 41,825.88 = 17,741.54 : x
  2. Step 2: Convert to fraction form
    30,306.26/41,825.88 = 17,741.54/x
  3. Step 3: Cross multiply
    30,306.26x = 41,825.88 × 17,741.54
  4. Step 4: Simplify right side
    30,306.26x = 742,055,523.06
  5. Step 5: Solve for x
    x = 742,055,523.06/30,306.26
  6. Step 6: Final answer
    x = 24,485.22

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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.