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Finding the Fourth Proportional to 16,874.28, 25,311.36 and 4,562.28

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Solution

The fourth proportional to 16,874.28, 25,311.36 and 4,562.28 is: 6,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.28 : 25,311.36 = 4,562.28 : x
  2. Step 2: Convert to fraction form
    16,874.28/25,311.36 = 4,562.28/x
  3. Step 3: Cross multiply
    16,874.28x = 25,311.36 × 4,562.28
  4. Step 4: Simplify right side
    16,874.28x = 115,477,511.50
  5. Step 5: Solve for x
    x = 115,477,511.50/16,874.28
  6. Step 6: Final answer
    x = 6,843.40

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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.