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Finding the Fourth Proportional to 20,240.47, 27,922.31 and 13,164.31

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Solution

The fourth proportional to 20,240.47, 27,922.31 and 13,164.31 is: 18,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.47 : 27,922.31 = 13,164.31 : x
  2. Step 2: Convert to fraction form
    20,240.47/27,922.31 = 13,164.31/x
  3. Step 3: Cross multiply
    20,240.47x = 27,922.31 × 13,164.31
  4. Step 4: Simplify right side
    20,240.47x = 367,577,907.86
  5. Step 5: Solve for x
    x = 367,577,907.86/20,240.47
  6. Step 6: Final answer
    x = 18,160.54

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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.