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Finding the Fourth Proportional to 14,606.85, 21,912.44 and 5,841.57

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Solution

The fourth proportional to 14,606.85, 21,912.44 and 5,841.57 is: 8,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.85 : 21,912.44 = 5,841.57 : x
  2. Step 2: Convert to fraction form
    14,606.85/21,912.44 = 5,841.57/x
  3. Step 3: Cross multiply
    14,606.85x = 21,912.44 × 5,841.57
  4. Step 4: Simplify right side
    14,606.85x = 128,003,022.92
  5. Step 5: Solve for x
    x = 128,003,022.92/14,606.85
  6. Step 6: Final answer
    x = 8,763.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.