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Finding the Fourth Proportional to 12,458.46, 17,182.94 and 7,982.63

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Solution

The fourth proportional to 12,458.46, 17,182.94 and 7,982.63 is: 11,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.46 : 17,182.94 = 7,982.63 : x
  2. Step 2: Convert to fraction form
    12,458.46/17,182.94 = 7,982.63/x
  3. Step 3: Cross multiply
    12,458.46x = 17,182.94 × 7,982.63
  4. Step 4: Simplify right side
    12,458.46x = 137,165,052.33
  5. Step 5: Solve for x
    x = 137,165,052.33/12,458.46
  6. Step 6: Final answer
    x = 11,009.79

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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.