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Finding the Fourth Proportional to 12,786.16, 17,643 and 7,196.08

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Solution

The fourth proportional to 12,786.16, 17,643 and 7,196.08 is: 9,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.16 : 17,643 = 7,196.08 : x
  2. Step 2: Convert to fraction form
    12,786.16/17,643 = 7,196.08/x
  3. Step 3: Cross multiply
    12,786.16x = 17,643 × 7,196.08
  4. Step 4: Simplify right side
    12,786.16x = 126,960,439.44
  5. Step 5: Solve for x
    x = 126,960,439.44/12,786.16
  6. Step 6: Final answer
    x = 9,929.52

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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.