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Finding the Fourth Proportional to 16,709.44, 25,063.44 and 6,845.44

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Solution

The fourth proportional to 16,709.44, 25,063.44 and 6,845.44 is: 10,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.44 : 25,063.44 = 6,845.44 : x
  2. Step 2: Convert to fraction form
    16,709.44/25,063.44 = 6,845.44/x
  3. Step 3: Cross multiply
    16,709.44x = 25,063.44 × 6,845.44
  4. Step 4: Simplify right side
    16,709.44x = 171,570,274.71
  5. Step 5: Solve for x
    x = 171,570,274.71/16,709.44
  6. Step 6: Final answer
    x = 10,267.87

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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.