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Finding the Fourth Proportional to 16,082.34, 22,193.37 and 9,008.74

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Solution

The fourth proportional to 16,082.34, 22,193.37 and 9,008.74 is: 12,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.34 : 22,193.37 = 9,008.74 : x
  2. Step 2: Convert to fraction form
    16,082.34/22,193.37 = 9,008.74/x
  3. Step 3: Cross multiply
    16,082.34x = 22,193.37 × 9,008.74
  4. Step 4: Simplify right side
    16,082.34x = 199,934,300.05
  5. Step 5: Solve for x
    x = 199,934,300.05/16,082.34
  6. Step 6: Final answer
    x = 12,431.92

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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.