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Finding the Fourth Proportional to 16,523.49, 22,806.36 and 9,453.99

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Solution

The fourth proportional to 16,523.49, 22,806.36 and 9,453.99 is: 13,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.49 : 22,806.36 = 9,453.99 : x
  2. Step 2: Convert to fraction form
    16,523.49/22,806.36 = 9,453.99/x
  3. Step 3: Cross multiply
    16,523.49x = 22,806.36 × 9,453.99
  4. Step 4: Simplify right side
    16,523.49x = 215,611,099.38
  5. Step 5: Solve for x
    x = 215,611,099.38/16,523.49
  6. Step 6: Final answer
    x = 13,048.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.