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Finding the Fourth Proportional to 21,330, 31,997.64 and 7,291.44

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Solution

The fourth proportional to 21,330, 31,997.64 and 7,291.44 is: 10,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330 : 31,997.64 = 7,291.44 : x
  2. Step 2: Convert to fraction form
    21,330/31,997.64 = 7,291.44/x
  3. Step 3: Cross multiply
    21,330x = 31,997.64 × 7,291.44
  4. Step 4: Simplify right side
    21,330x = 233,308,872.20
  5. Step 5: Solve for x
    x = 233,308,872.20/21,330
  6. Step 6: Final answer
    x = 10,938.06

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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.