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Finding the Fourth Proportional to 12,738.12, 17,576.64 and 7,286.76

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Solution

The fourth proportional to 12,738.12, 17,576.64 and 7,286.76 is: 10,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.12 : 17,576.64 = 7,286.76 : x
  2. Step 2: Convert to fraction form
    12,738.12/17,576.64 = 7,286.76/x
  3. Step 3: Cross multiply
    12,738.12x = 17,576.64 × 7,286.76
  4. Step 4: Simplify right side
    12,738.12x = 128,076,757.29
  5. Step 5: Solve for x
    x = 128,076,757.29/12,738.12
  6. Step 6: Final answer
    x = 10,054.60

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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.