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Finding the Fourth Proportional to 16,805.44, 25,201.08 and 5,116

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Solution

The fourth proportional to 16,805.44, 25,201.08 and 5,116 is: 7,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.44 : 25,201.08 = 5,116 : x
  2. Step 2: Convert to fraction form
    16,805.44/25,201.08 = 5,116/x
  3. Step 3: Cross multiply
    16,805.44x = 25,201.08 × 5,116
  4. Step 4: Simplify right side
    16,805.44x = 128,928,725.28
  5. Step 5: Solve for x
    x = 128,928,725.28/16,805.44
  6. Step 6: Final answer
    x = 7,671.84

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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.