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Finding the Fourth Proportional to 14,958.21, 20,635.38 and 9,578.10

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Solution

The fourth proportional to 14,958.21, 20,635.38 and 9,578.10 is: 13,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,958.21 : 20,635.38 = 9,578.10 : x
  2. Step 2: Convert to fraction form
    14,958.21/20,635.38 = 9,578.10/x
  3. Step 3: Cross multiply
    14,958.21x = 20,635.38 × 9,578.10
  4. Step 4: Simplify right side
    14,958.21x = 197,647,733.18
  5. Step 5: Solve for x
    x = 197,647,733.18/14,958.21
  6. Step 6: Final answer
    x = 13,213.33

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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.