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Finding the Fourth Proportional to 14,212.49, 21,309.61 and 5,898.24

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Solution

The fourth proportional to 14,212.49, 21,309.61 and 5,898.24 is: 8,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.49 : 21,309.61 = 5,898.24 : x
  2. Step 2: Convert to fraction form
    14,212.49/21,309.61 = 5,898.24/x
  3. Step 3: Cross multiply
    14,212.49x = 21,309.61 × 5,898.24
  4. Step 4: Simplify right side
    14,212.49x = 125,689,194.09
  5. Step 5: Solve for x
    x = 125,689,194.09/14,212.49
  6. Step 6: Final answer
    x = 8,843.57

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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.