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Finding the Fourth Proportional to 12,797.47, 17,665.32 and 7,494

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Solution

The fourth proportional to 12,797.47, 17,665.32 and 7,494 is: 10,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.47 : 17,665.32 = 7,494 : x
  2. Step 2: Convert to fraction form
    12,797.47/17,665.32 = 7,494/x
  3. Step 3: Cross multiply
    12,797.47x = 17,665.32 × 7,494
  4. Step 4: Simplify right side
    12,797.47x = 132,383,908.08
  5. Step 5: Solve for x
    x = 132,383,908.08/12,797.47
  6. Step 6: Final answer
    x = 10,344.54

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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.