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Finding the Fourth Proportional to 12,794.99, 17,652.39 and 7,755.57

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Solution

The fourth proportional to 12,794.99, 17,652.39 and 7,755.57 is: 10,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.99 : 17,652.39 = 7,755.57 : x
  2. Step 2: Convert to fraction form
    12,794.99/17,652.39 = 7,755.57/x
  3. Step 3: Cross multiply
    12,794.99x = 17,652.39 × 7,755.57
  4. Step 4: Simplify right side
    12,794.99x = 136,904,346.31
  5. Step 5: Solve for x
    x = 136,904,346.31/12,794.99
  6. Step 6: Final answer
    x = 10,699.84

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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.