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Finding the Fourth Proportional to 21,405.20, 32,268.23 and 19,978

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Solution

The fourth proportional to 21,405.20, 32,268.23 and 19,978 is: 30,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.20 : 32,268.23 = 19,978 : x
  2. Step 2: Convert to fraction form
    21,405.20/32,268.23 = 19,978/x
  3. Step 3: Cross multiply
    21,405.20x = 32,268.23 × 19,978
  4. Step 4: Simplify right side
    21,405.20x = 644,654,698.94
  5. Step 5: Solve for x
    x = 644,654,698.94/21,405.20
  6. Step 6: Final answer
    x = 30,116.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.