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Finding the Fourth Proportional to 12,453.63, 17,179.33 and 7,972.56

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Solution

The fourth proportional to 12,453.63, 17,179.33 and 7,972.56 is: 10,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.63 : 17,179.33 = 7,972.56 : x
  2. Step 2: Convert to fraction form
    12,453.63/17,179.33 = 7,972.56/x
  3. Step 3: Cross multiply
    12,453.63x = 17,179.33 × 7,972.56
  4. Step 4: Simplify right side
    12,453.63x = 136,963,239.18
  5. Step 5: Solve for x
    x = 136,963,239.18/12,453.63
  6. Step 6: Final answer
    x = 10,997.86

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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.