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Finding the Fourth Proportional to 16,824.14, 25,238.65 and 5,135.84

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Solution

The fourth proportional to 16,824.14, 25,238.65 and 5,135.84 is: 7,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.14 : 25,238.65 = 5,135.84 : x
  2. Step 2: Convert to fraction form
    16,824.14/25,238.65 = 5,135.84/x
  3. Step 3: Cross multiply
    16,824.14x = 25,238.65 × 5,135.84
  4. Step 4: Simplify right side
    16,824.14x = 129,621,668.22
  5. Step 5: Solve for x
    x = 129,621,668.22/16,824.14
  6. Step 6: Final answer
    x = 7,704.50

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Why These Related Problems?

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