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Finding the Fourth Proportional to 16,157.21, 22,294.32 and 9,082.22

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Solution

The fourth proportional to 16,157.21, 22,294.32 and 9,082.22 is: 12,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.21 : 22,294.32 = 9,082.22 : x
  2. Step 2: Convert to fraction form
    16,157.21/22,294.32 = 9,082.22/x
  3. Step 3: Cross multiply
    16,157.21x = 22,294.32 × 9,082.22
  4. Step 4: Simplify right side
    16,157.21x = 202,481,918.99
  5. Step 5: Solve for x
    x = 202,481,918.99/16,157.21
  6. Step 6: Final answer
    x = 12,531.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.