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Finding the Fourth Proportional to 22,652, 33,989.36 and 10,819.04

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Solution

The fourth proportional to 22,652, 33,989.36 and 10,819.04 is: 16,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652 : 33,989.36 = 10,819.04 : x
  2. Step 2: Convert to fraction form
    22,652/33,989.36 = 10,819.04/x
  3. Step 3: Cross multiply
    22,652x = 33,989.36 × 10,819.04
  4. Step 4: Simplify right side
    22,652x = 367,732,245.41
  5. Step 5: Solve for x
    x = 367,732,245.41/22,652
  6. Step 6: Final answer
    x = 16,233.99

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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.