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Finding the Fourth Proportional to 21,099.21, 31,639.02 and 7,768.81

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Solution

The fourth proportional to 21,099.21, 31,639.02 and 7,768.81 is: 11,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.21 : 31,639.02 = 7,768.81 : x
  2. Step 2: Convert to fraction form
    21,099.21/31,639.02 = 7,768.81/x
  3. Step 3: Cross multiply
    21,099.21x = 31,639.02 × 7,768.81
  4. Step 4: Simplify right side
    21,099.21x = 245,797,534.97
  5. Step 5: Solve for x
    x = 245,797,534.97/21,099.21
  6. Step 6: Final answer
    x = 11,649.61

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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.