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Finding the Fourth Proportional to 12,414.63, 17,112.46 and 9,757.47

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Solution

The fourth proportional to 12,414.63, 17,112.46 and 9,757.47 is: 13,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.63 : 17,112.46 = 9,757.47 : x
  2. Step 2: Convert to fraction form
    12,414.63/17,112.46 = 9,757.47/x
  3. Step 3: Cross multiply
    12,414.63x = 17,112.46 × 9,757.47
  4. Step 4: Simplify right side
    12,414.63x = 166,974,315.08
  5. Step 5: Solve for x
    x = 166,974,315.08/12,414.63
  6. Step 6: Final answer
    x = 13,449.80

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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.