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Finding the Fourth Proportional to 16,710.64, 25,044.12 and 6,844.54

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Solution

The fourth proportional to 16,710.64, 25,044.12 and 6,844.54 is: 10,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710.64 : 25,044.12 = 6,844.54 : x
  2. Step 2: Convert to fraction form
    16,710.64/25,044.12 = 6,844.54/x
  3. Step 3: Cross multiply
    16,710.64x = 25,044.12 × 6,844.54
  4. Step 4: Simplify right side
    16,710.64x = 171,415,481.10
  5. Step 5: Solve for x
    x = 171,415,481.10/16,710.64
  6. Step 6: Final answer
    x = 10,257.86

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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.