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Finding the Fourth Proportional to 21,139.68, 31,715.92 and 7,996.08

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Solution

The fourth proportional to 21,139.68, 31,715.92 and 7,996.08 is: 11,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.68 : 31,715.92 = 7,996.08 : x
  2. Step 2: Convert to fraction form
    21,139.68/31,715.92 = 7,996.08/x
  3. Step 3: Cross multiply
    21,139.68x = 31,715.92 × 7,996.08
  4. Step 4: Simplify right side
    21,139.68x = 253,603,033.59
  5. Step 5: Solve for x
    x = 253,603,033.59/21,139.68
  6. Step 6: Final answer
    x = 11,996.54

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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.