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Finding the Fourth Proportional to 12,961.88, 17,883.24 and 7,658.48

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Solution

The fourth proportional to 12,961.88, 17,883.24 and 7,658.48 is: 10,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.88 : 17,883.24 = 7,658.48 : x
  2. Step 2: Convert to fraction form
    12,961.88/17,883.24 = 7,658.48/x
  3. Step 3: Cross multiply
    12,961.88x = 17,883.24 × 7,658.48
  4. Step 4: Simplify right side
    12,961.88x = 136,958,435.88
  5. Step 5: Solve for x
    x = 136,958,435.88/12,961.88
  6. Step 6: Final answer
    x = 10,566.25

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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.