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Finding the Fourth Proportional to 21,313.87, 31,912.74 and 15,396.82

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Solution

The fourth proportional to 21,313.87, 31,912.74 and 15,396.82 is: 23,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.87 : 31,912.74 = 15,396.82 : x
  2. Step 2: Convert to fraction form
    21,313.87/31,912.74 = 15,396.82/x
  3. Step 3: Cross multiply
    21,313.87x = 31,912.74 × 15,396.82
  4. Step 4: Simplify right side
    21,313.87x = 491,354,713.49
  5. Step 5: Solve for x
    x = 491,354,713.49/21,313.87
  6. Step 6: Final answer
    x = 23,053.28

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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.