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Finding the Fourth Proportional to 21,553.96, 32,330.70 and 5,971

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Solution

The fourth proportional to 21,553.96, 32,330.70 and 5,971 is: 8,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.96 : 32,330.70 = 5,971 : x
  2. Step 2: Convert to fraction form
    21,553.96/32,330.70 = 5,971/x
  3. Step 3: Cross multiply
    21,553.96x = 32,330.70 × 5,971
  4. Step 4: Simplify right side
    21,553.96x = 193,046,609.70
  5. Step 5: Solve for x
    x = 193,046,609.70/21,553.96
  6. Step 6: Final answer
    x = 8,956.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.