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Finding the Fourth Proportional to 16,257, 24,385.56 and 3,945

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Solution

The fourth proportional to 16,257, 24,385.56 and 3,945 is: 5,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257 : 24,385.56 = 3,945 : x
  2. Step 2: Convert to fraction form
    16,257/24,385.56 = 3,945/x
  3. Step 3: Cross multiply
    16,257x = 24,385.56 × 3,945
  4. Step 4: Simplify right side
    16,257x = 96,201,034.20
  5. Step 5: Solve for x
    x = 96,201,034.20/16,257
  6. Step 6: Final answer
    x = 5,917.51

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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.