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Finding the Fourth Proportional to 24,579, 33,919.20 and 13,401

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Solution

The fourth proportional to 24,579, 33,919.20 and 13,401 is: 18,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,579 : 33,919.20 = 13,401 : x
  2. Step 2: Convert to fraction form
    24,579/33,919.20 = 13,401/x
  3. Step 3: Cross multiply
    24,579x = 33,919.20 × 13,401
  4. Step 4: Simplify right side
    24,579x = 454,551,199.20
  5. Step 5: Solve for x
    x = 454,551,199.20/24,579
  6. Step 6: Final answer
    x = 18,493.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.