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Finding the Fourth Proportional to 24,512, 33,826.56 and 13,334.08

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Solution

The fourth proportional to 24,512, 33,826.56 and 13,334.08 is: 18,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512 : 33,826.56 = 13,334.08 : x
  2. Step 2: Convert to fraction form
    24,512/33,826.56 = 13,334.08/x
  3. Step 3: Cross multiply
    24,512x = 33,826.56 × 13,334.08
  4. Step 4: Simplify right side
    24,512x = 451,046,057.16
  5. Step 5: Solve for x
    x = 451,046,057.16/24,512
  6. Step 6: Final answer
    x = 18,401.03

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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.