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Finding the Fourth Proportional to 21,099.39, 31,639.33 and 7,769.03

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Solution

The fourth proportional to 21,099.39, 31,639.33 and 7,769.03 is: 11,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.39 : 31,639.33 = 7,769.03 : x
  2. Step 2: Convert to fraction form
    21,099.39/31,639.33 = 7,769.03/x
  3. Step 3: Cross multiply
    21,099.39x = 31,639.33 × 7,769.03
  4. Step 4: Simplify right side
    21,099.39x = 245,806,874.11
  5. Step 5: Solve for x
    x = 245,806,874.11/21,099.39
  6. Step 6: Final answer
    x = 11,649.95

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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.