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Finding the Fourth Proportional to 11,229.28, 16,832.91 and 9,567.16

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Solution

The fourth proportional to 11,229.28, 16,832.91 and 9,567.16 is: 14,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.28 : 16,832.91 = 9,567.16 : x
  2. Step 2: Convert to fraction form
    11,229.28/16,832.91 = 9,567.16/x
  3. Step 3: Cross multiply
    11,229.28x = 16,832.91 × 9,567.16
  4. Step 4: Simplify right side
    11,229.28x = 161,043,143.24
  5. Step 5: Solve for x
    x = 161,043,143.24/11,229.28
  6. Step 6: Final answer
    x = 14,341.36

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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.