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Finding the Fourth Proportional to 16,811.36, 25,212.98 and 7,446.20

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Solution

The fourth proportional to 16,811.36, 25,212.98 and 7,446.20 is: 11,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.36 : 25,212.98 = 7,446.20 : x
  2. Step 2: Convert to fraction form
    16,811.36/25,212.98 = 7,446.20/x
  3. Step 3: Cross multiply
    16,811.36x = 25,212.98 × 7,446.20
  4. Step 4: Simplify right side
    16,811.36x = 187,740,891.68
  5. Step 5: Solve for x
    x = 187,740,891.68/16,811.36
  6. Step 6: Final answer
    x = 11,167.50

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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.