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Finding the Fourth Proportional to 12,682.98, 17,496.69 and 8,208.18

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Solution

The fourth proportional to 12,682.98, 17,496.69 and 8,208.18 is: 11,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.98 : 17,496.69 = 8,208.18 : x
  2. Step 2: Convert to fraction form
    12,682.98/17,496.69 = 8,208.18/x
  3. Step 3: Cross multiply
    12,682.98x = 17,496.69 × 8,208.18
  4. Step 4: Simplify right side
    12,682.98x = 143,615,980.92
  5. Step 5: Solve for x
    x = 143,615,980.92/12,682.98
  6. Step 6: Final answer
    x = 11,323.52

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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.