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Finding the Fourth Proportional to 30,254.31, 41,749.02 and 16,824.78

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Solution

The fourth proportional to 30,254.31, 41,749.02 and 16,824.78 is: 23,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.31 : 41,749.02 = 16,824.78 : x
  2. Step 2: Convert to fraction form
    30,254.31/41,749.02 = 16,824.78/x
  3. Step 3: Cross multiply
    30,254.31x = 41,749.02 × 16,824.78
  4. Step 4: Simplify right side
    30,254.31x = 702,418,076.72
  5. Step 5: Solve for x
    x = 702,418,076.72/30,254.31
  6. Step 6: Final answer
    x = 23,217.12

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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.