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Finding the Fourth Proportional to 21,563.72, 32,353.44 and 9,086.88

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Solution

The fourth proportional to 21,563.72, 32,353.44 and 9,086.88 is: 13,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.72 : 32,353.44 = 9,086.88 : x
  2. Step 2: Convert to fraction form
    21,563.72/32,353.44 = 9,086.88/x
  3. Step 3: Cross multiply
    21,563.72x = 32,353.44 × 9,086.88
  4. Step 4: Simplify right side
    21,563.72x = 293,991,826.87
  5. Step 5: Solve for x
    x = 293,991,826.87/21,563.72
  6. Step 6: Final answer
    x = 13,633.63

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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.