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Finding the Fourth Proportional to 14,709.25, 20,299.71 and 8,249.49

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Solution

The fourth proportional to 14,709.25, 20,299.71 and 8,249.49 is: 11,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.25 : 20,299.71 = 8,249.49 : x
  2. Step 2: Convert to fraction form
    14,709.25/20,299.71 = 8,249.49/x
  3. Step 3: Cross multiply
    14,709.25x = 20,299.71 × 8,249.49
  4. Step 4: Simplify right side
    14,709.25x = 167,462,158.89
  5. Step 5: Solve for x
    x = 167,462,158.89/14,709.25
  6. Step 6: Final answer
    x = 11,384.82

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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.