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Finding the Fourth Proportional to 20,105.36, 27,754.92 and 13,402.16

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Solution

The fourth proportional to 20,105.36, 27,754.92 and 13,402.16 is: 18,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.36 : 27,754.92 = 13,402.16 : x
  2. Step 2: Convert to fraction form
    20,105.36/27,754.92 = 13,402.16/x
  3. Step 3: Cross multiply
    20,105.36x = 27,754.92 × 13,402.16
  4. Step 4: Simplify right side
    20,105.36x = 371,975,878.63
  5. Step 5: Solve for x
    x = 371,975,878.63/20,105.36
  6. Step 6: Final answer
    x = 18,501.33

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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.