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Finding the Fourth Proportional to 20,104.36, 27,753.54 and 13,401.16

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Solution

The fourth proportional to 20,104.36, 27,753.54 and 13,401.16 is: 18,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.36 : 27,753.54 = 13,401.16 : x
  2. Step 2: Convert to fraction form
    20,104.36/27,753.54 = 13,401.16/x
  3. Step 3: Cross multiply
    20,104.36x = 27,753.54 × 13,401.16
  4. Step 4: Simplify right side
    20,104.36x = 371,929,630.11
  5. Step 5: Solve for x
    x = 371,929,630.11/20,104.36
  6. Step 6: Final answer
    x = 18,499.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.