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Finding the Fourth Proportional to 17,546.85, 24,234.77 and 12,788.01

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Solution

The fourth proportional to 17,546.85, 24,234.77 and 12,788.01 is: 17,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.85 : 24,234.77 = 12,788.01 : x
  2. Step 2: Convert to fraction form
    17,546.85/24,234.77 = 12,788.01/x
  3. Step 3: Cross multiply
    17,546.85x = 24,234.77 × 12,788.01
  4. Step 4: Simplify right side
    17,546.85x = 309,914,513.08
  5. Step 5: Solve for x
    x = 309,914,513.08/17,546.85
  6. Step 6: Final answer
    x = 17,662.12

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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.