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Finding the Fourth Proportional to 17,266.48, 25,893.24 and 8,026

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Solution

The fourth proportional to 17,266.48, 25,893.24 and 8,026 is: 12,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.48 : 25,893.24 = 8,026 : x
  2. Step 2: Convert to fraction form
    17,266.48/25,893.24 = 8,026/x
  3. Step 3: Cross multiply
    17,266.48x = 25,893.24 × 8,026
  4. Step 4: Simplify right side
    17,266.48x = 207,819,144.24
  5. Step 5: Solve for x
    x = 207,819,144.24/17,266.48
  6. Step 6: Final answer
    x = 12,035.99

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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.