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Finding the Fourth Proportional to 12,786.96, 17,648.48 and 7,197.96

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Solution

The fourth proportional to 12,786.96, 17,648.48 and 7,197.96 is: 9,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.96 : 17,648.48 = 7,197.96 : x
  2. Step 2: Convert to fraction form
    12,786.96/17,648.48 = 7,197.96/x
  3. Step 3: Cross multiply
    12,786.96x = 17,648.48 × 7,197.96
  4. Step 4: Simplify right side
    12,786.96x = 127,033,053.10
  5. Step 5: Solve for x
    x = 127,033,053.10/12,786.96
  6. Step 6: Final answer
    x = 9,934.58

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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.