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Finding the Fourth Proportional to 21,025, 31,537.50 and 7,174

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Solution

The fourth proportional to 21,025, 31,537.50 and 7,174 is: 10,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025 : 31,537.50 = 7,174 : x
  2. Step 2: Convert to fraction form
    21,025/31,537.50 = 7,174/x
  3. Step 3: Cross multiply
    21,025x = 31,537.50 × 7,174
  4. Step 4: Simplify right side
    21,025x = 226,250,025
  5. Step 5: Solve for x
    x = 226,250,025/21,025
  6. Step 6: Final answer
    x = 10,761

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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.