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Finding the Fourth Proportional to 24,204.76, 33,401 and 13,594.20

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Solution

The fourth proportional to 24,204.76, 33,401 and 13,594.20 is: 18,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.76 : 33,401 = 13,594.20 : x
  2. Step 2: Convert to fraction form
    24,204.76/33,401 = 13,594.20/x
  3. Step 3: Cross multiply
    24,204.76x = 33,401 × 13,594.20
  4. Step 4: Simplify right side
    24,204.76x = 454,059,874.20
  5. Step 5: Solve for x
    x = 454,059,874.20/24,204.76
  6. Step 6: Final answer
    x = 18,759.11

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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.