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Finding the Fourth Proportional to 27,696.64, 41,504.48 and 13,652.48

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Solution

The fourth proportional to 27,696.64, 41,504.48 and 13,652.48 is: 20,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.64 : 41,504.48 = 13,652.48 : x
  2. Step 2: Convert to fraction form
    27,696.64/41,504.48 = 13,652.48/x
  3. Step 3: Cross multiply
    27,696.64x = 41,504.48 × 13,652.48
  4. Step 4: Simplify right side
    27,696.64x = 566,639,083.11
  5. Step 5: Solve for x
    x = 566,639,083.11/27,696.64
  6. Step 6: Final answer
    x = 20,458.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.