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Finding the Fourth Proportional to 12,458.09, 17,182.44 and 7,982.27

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Solution

The fourth proportional to 12,458.09, 17,182.44 and 7,982.27 is: 11,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.09 : 17,182.44 = 7,982.27 : x
  2. Step 2: Convert to fraction form
    12,458.09/17,182.44 = 7,982.27/x
  3. Step 3: Cross multiply
    12,458.09x = 17,182.44 × 7,982.27
  4. Step 4: Simplify right side
    12,458.09x = 137,154,789.43
  5. Step 5: Solve for x
    x = 137,154,789.43/12,458.09
  6. Step 6: Final answer
    x = 11,009.30

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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.