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Finding the Fourth Proportional to 16,414.43, 22,652.00 and 9,340.85

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Solution

The fourth proportional to 16,414.43, 22,652.00 and 9,340.85 is: 12,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.43 : 22,652.00 = 9,340.85 : x
  2. Step 2: Convert to fraction form
    16,414.43/22,652.00 = 9,340.85/x
  3. Step 3: Cross multiply
    16,414.43x = 22,652.00 × 9,340.85
  4. Step 4: Simplify right side
    16,414.43x = 211,588,774.24
  5. Step 5: Solve for x
    x = 211,588,774.24/16,414.43
  6. Step 6: Final answer
    x = 12,890.42

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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.