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Finding the Fourth Proportional to 21,131.49, 31,713.30 and 7,817.09

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Solution

The fourth proportional to 21,131.49, 31,713.30 and 7,817.09 is: 11,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.49 : 31,713.30 = 7,817.09 : x
  2. Step 2: Convert to fraction form
    21,131.49/31,713.30 = 7,817.09/x
  3. Step 3: Cross multiply
    21,131.49x = 31,713.30 × 7,817.09
  4. Step 4: Simplify right side
    21,131.49x = 247,905,561.73
  5. Step 5: Solve for x
    x = 247,905,561.73/21,131.49
  6. Step 6: Final answer
    x = 11,731.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.