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Finding the Fourth Proportional to 20,034.80, 27,670.72 and 13,650.32

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Solution

The fourth proportional to 20,034.80, 27,670.72 and 13,650.32 is: 18,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.80 : 27,670.72 = 13,650.32 : x
  2. Step 2: Convert to fraction form
    20,034.80/27,670.72 = 13,650.32/x
  3. Step 3: Cross multiply
    20,034.80x = 27,670.72 × 13,650.32
  4. Step 4: Simplify right side
    20,034.80x = 377,714,010.15
  5. Step 5: Solve for x
    x = 377,714,010.15/20,034.80
  6. Step 6: Final answer
    x = 18,852.89

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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.