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Finding the Fourth Proportional to 22,419.37, 33,628.75 and 7,638.59

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Solution

The fourth proportional to 22,419.37, 33,628.75 and 7,638.59 is: 11,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.37 : 33,628.75 = 7,638.59 : x
  2. Step 2: Convert to fraction form
    22,419.37/33,628.75 = 7,638.59/x
  3. Step 3: Cross multiply
    22,419.37x = 33,628.75 × 7,638.59
  4. Step 4: Simplify right side
    22,419.37x = 256,876,233.46
  5. Step 5: Solve for x
    x = 256,876,233.46/22,419.37
  6. Step 6: Final answer
    x = 11,457.78

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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.