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Finding the Fourth Proportional to 14,309.62, 19,744.72 and 8,640.57

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Solution

The fourth proportional to 14,309.62, 19,744.72 and 8,640.57 is: 11,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.62 : 19,744.72 = 8,640.57 : x
  2. Step 2: Convert to fraction form
    14,309.62/19,744.72 = 8,640.57/x
  3. Step 3: Cross multiply
    14,309.62x = 19,744.72 × 8,640.57
  4. Step 4: Simplify right side
    14,309.62x = 170,605,563.01
  5. Step 5: Solve for x
    x = 170,605,563.01/14,309.62
  6. Step 6: Final answer
    x = 11,922.44

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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.