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Finding the Fourth Proportional to 20,105.64, 27,762.36 and 13,044.12

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Solution

The fourth proportional to 20,105.64, 27,762.36 and 13,044.12 is: 18,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.64 : 27,762.36 = 13,044.12 : x
  2. Step 2: Convert to fraction form
    20,105.64/27,762.36 = 13,044.12/x
  3. Step 3: Cross multiply
    20,105.64x = 27,762.36 × 13,044.12
  4. Step 4: Simplify right side
    20,105.64x = 362,135,555.32
  5. Step 5: Solve for x
    x = 362,135,555.32/20,105.64
  6. Step 6: Final answer
    x = 18,011.64

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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.