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Finding the Fourth Proportional to 16,216.34, 22,378.34 and 9,145.04

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Solution

The fourth proportional to 16,216.34, 22,378.34 and 9,145.04 is: 12,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.34 : 22,378.34 = 9,145.04 : x
  2. Step 2: Convert to fraction form
    16,216.34/22,378.34 = 9,145.04/x
  3. Step 3: Cross multiply
    16,216.34x = 22,378.34 × 9,145.04
  4. Step 4: Simplify right side
    16,216.34x = 204,650,814.43
  5. Step 5: Solve for x
    x = 204,650,814.43/16,216.34
  6. Step 6: Final answer
    x = 12,620.04

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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.