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Finding the Fourth Proportional to 27,813.84, 41,629.77 and 20,416.38

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Solution

The fourth proportional to 27,813.84, 41,629.77 and 20,416.38 is: 30,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.84 : 41,629.77 = 20,416.38 : x
  2. Step 2: Convert to fraction form
    27,813.84/41,629.77 = 20,416.38/x
  3. Step 3: Cross multiply
    27,813.84x = 41,629.77 × 20,416.38
  4. Step 4: Simplify right side
    27,813.84x = 849,929,203.63
  5. Step 5: Solve for x
    x = 849,929,203.63/27,813.84
  6. Step 6: Final answer
    x = 30,557.78

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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.