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Finding the Fourth Proportional to 27,644.96, 41,484.64 and 11,228.96

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Solution

The fourth proportional to 27,644.96, 41,484.64 and 11,228.96 is: 16,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.96 : 41,484.64 = 11,228.96 : x
  2. Step 2: Convert to fraction form
    27,644.96/41,484.64 = 11,228.96/x
  3. Step 3: Cross multiply
    27,644.96x = 41,484.64 × 11,228.96
  4. Step 4: Simplify right side
    27,644.96x = 465,829,363.17
  5. Step 5: Solve for x
    x = 465,829,363.17/27,644.96
  6. Step 6: Final answer
    x = 16,850.43

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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.