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Finding the Fourth Proportional to 21,305.28, 32,004 and 18,024.96

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Solution

The fourth proportional to 21,305.28, 32,004 and 18,024.96 is: 27,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.28 : 32,004 = 18,024.96 : x
  2. Step 2: Convert to fraction form
    21,305.28/32,004 = 18,024.96/x
  3. Step 3: Cross multiply
    21,305.28x = 32,004 × 18,024.96
  4. Step 4: Simplify right side
    21,305.28x = 576,870,819.84
  5. Step 5: Solve for x
    x = 576,870,819.84/21,305.28
  6. Step 6: Final answer
    x = 27,076.43

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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.