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Finding the Fourth Proportional to 16,814.77, 25,225.89 and 5,128.90

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Solution

The fourth proportional to 16,814.77, 25,225.89 and 5,128.90 is: 7,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.77 : 25,225.89 = 5,128.90 : x
  2. Step 2: Convert to fraction form
    16,814.77/25,225.89 = 5,128.90/x
  3. Step 3: Cross multiply
    16,814.77x = 25,225.89 × 5,128.90
  4. Step 4: Simplify right side
    16,814.77x = 129,381,067.22
  5. Step 5: Solve for x
    x = 129,381,067.22/16,814.77
  6. Step 6: Final answer
    x = 7,694.49

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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.