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Finding the Fourth Proportional to 12,546.99, 17,309.90 and 7,240.78

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Solution

The fourth proportional to 12,546.99, 17,309.90 and 7,240.78 is: 9,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.99 : 17,309.90 = 7,240.78 : x
  2. Step 2: Convert to fraction form
    12,546.99/17,309.90 = 7,240.78/x
  3. Step 3: Cross multiply
    12,546.99x = 17,309.90 × 7,240.78
  4. Step 4: Simplify right side
    12,546.99x = 125,337,054.97
  5. Step 5: Solve for x
    x = 125,337,054.97/12,546.99
  6. Step 6: Final answer
    x = 9,989.42

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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.