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Finding the Fourth Proportional to 12,764.50, 17,614.62 and 7,098.82

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Solution

The fourth proportional to 12,764.50, 17,614.62 and 7,098.82 is: 9,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.50 : 17,614.62 = 7,098.82 : x
  2. Step 2: Convert to fraction form
    12,764.50/17,614.62 = 7,098.82/x
  3. Step 3: Cross multiply
    12,764.50x = 17,614.62 × 7,098.82
  4. Step 4: Simplify right side
    12,764.50x = 125,043,016.75
  5. Step 5: Solve for x
    x = 125,043,016.75/12,764.50
  6. Step 6: Final answer
    x = 9,796.15

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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.