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Finding the Fourth Proportional to 21,563.20, 32,319.20 and 9,083.20

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Solution

The fourth proportional to 21,563.20, 32,319.20 and 9,083.20 is: 13,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.20 : 32,319.20 = 9,083.20 : x
  2. Step 2: Convert to fraction form
    21,563.20/32,319.20 = 9,083.20/x
  3. Step 3: Cross multiply
    21,563.20x = 32,319.20 × 9,083.20
  4. Step 4: Simplify right side
    21,563.20x = 293,561,757.44
  5. Step 5: Solve for x
    x = 293,561,757.44/21,563.20
  6. Step 6: Final answer
    x = 13,614.02

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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.