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Finding the Fourth Proportional to 21,789.38, 32,687.47 and 9,309.48

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Solution

The fourth proportional to 21,789.38, 32,687.47 and 9,309.48 is: 13,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.38 : 32,687.47 = 9,309.48 : x
  2. Step 2: Convert to fraction form
    21,789.38/32,687.47 = 9,309.48/x
  3. Step 3: Cross multiply
    21,789.38x = 32,687.47 × 9,309.48
  4. Step 4: Simplify right side
    21,789.38x = 304,303,447.32
  5. Step 5: Solve for x
    x = 304,303,447.32/21,789.38
  6. Step 6: Final answer
    x = 13,965.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.