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Finding the Fourth Proportional to 17,043.31, 25,576.64 and 5,950

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Solution

The fourth proportional to 17,043.31, 25,576.64 and 5,950 is: 8,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.31 : 25,576.64 = 5,950 : x
  2. Step 2: Convert to fraction form
    17,043.31/25,576.64 = 5,950/x
  3. Step 3: Cross multiply
    17,043.31x = 25,576.64 × 5,950
  4. Step 4: Simplify right side
    17,043.31x = 152,181,008
  5. Step 5: Solve for x
    x = 152,181,008/17,043.31
  6. Step 6: Final answer
    x = 8,929.08

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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.