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Finding the Fourth Proportional to 17,337, 26,008.20 and 5,647.48

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Solution

The fourth proportional to 17,337, 26,008.20 and 5,647.48 is: 8,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337 : 26,008.20 = 5,647.48 : x
  2. Step 2: Convert to fraction form
    17,337/26,008.20 = 5,647.48/x
  3. Step 3: Cross multiply
    17,337x = 26,008.20 × 5,647.48
  4. Step 4: Simplify right side
    17,337x = 146,880,789.34
  5. Step 5: Solve for x
    x = 146,880,789.34/17,337
  6. Step 6: Final answer
    x = 8,472.10

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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.