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Finding the Fourth Proportional to 16,408.26, 22,643.46 and 8,956.26

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Solution

The fourth proportional to 16,408.26, 22,643.46 and 8,956.26 is: 12,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.26 : 22,643.46 = 8,956.26 : x
  2. Step 2: Convert to fraction form
    16,408.26/22,643.46 = 8,956.26/x
  3. Step 3: Cross multiply
    16,408.26x = 22,643.46 × 8,956.26
  4. Step 4: Simplify right side
    16,408.26x = 202,800,715.06
  5. Step 5: Solve for x
    x = 202,800,715.06/16,408.26
  6. Step 6: Final answer
    x = 12,359.67

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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.