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Finding the Fourth Proportional to 30,255.36, 41,749.18 and 16,824.44

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Solution

The fourth proportional to 30,255.36, 41,749.18 and 16,824.44 is: 23,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.36 : 41,749.18 = 16,824.44 : x
  2. Step 2: Convert to fraction form
    30,255.36/41,749.18 = 16,824.44/x
  3. Step 3: Cross multiply
    30,255.36x = 41,749.18 × 16,824.44
  4. Step 4: Simplify right side
    30,255.36x = 702,406,573.96
  5. Step 5: Solve for x
    x = 702,406,573.96/30,255.36
  6. Step 6: Final answer
    x = 23,215.94

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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.