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Finding the Fourth Proportional to 12,896.88, 17,796.56 and 7,154.48

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Solution

The fourth proportional to 12,896.88, 17,796.56 and 7,154.48 is: 9,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.88 : 17,796.56 = 7,154.48 : x
  2. Step 2: Convert to fraction form
    12,896.88/17,796.56 = 7,154.48/x
  3. Step 3: Cross multiply
    12,896.88x = 17,796.56 × 7,154.48
  4. Step 4: Simplify right side
    12,896.88x = 127,325,132.59
  5. Step 5: Solve for x
    x = 127,325,132.59/12,896.88
  6. Step 6: Final answer
    x = 9,872.55

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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.