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Finding the Fourth Proportional to 12,722.82, 17,558.18 and 7,686.98

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Solution

The fourth proportional to 12,722.82, 17,558.18 and 7,686.98 is: 10,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.82 : 17,558.18 = 7,686.98 : x
  2. Step 2: Convert to fraction form
    12,722.82/17,558.18 = 7,686.98/x
  3. Step 3: Cross multiply
    12,722.82x = 17,558.18 × 7,686.98
  4. Step 4: Simplify right side
    12,722.82x = 134,969,383.96
  5. Step 5: Solve for x
    x = 134,969,383.96/12,722.82
  6. Step 6: Final answer
    x = 10,608.45

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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.