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Finding the Fourth Proportional to 21,346.17, 31,991.72 and 10,229.73

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Solution

The fourth proportional to 21,346.17, 31,991.72 and 10,229.73 is: 15,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.17 : 31,991.72 = 10,229.73 : x
  2. Step 2: Convert to fraction form
    21,346.17/31,991.72 = 10,229.73/x
  3. Step 3: Cross multiply
    21,346.17x = 31,991.72 × 10,229.73
  4. Step 4: Simplify right side
    21,346.17x = 327,266,606.69
  5. Step 5: Solve for x
    x = 327,266,606.69/21,346.17
  6. Step 6: Final answer
    x = 15,331.40

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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.