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Finding the Fourth Proportional to 21,230.89, 31,850.86 and 7,190.43

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Solution

The fourth proportional to 21,230.89, 31,850.86 and 7,190.43 is: 10,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.89 : 31,850.86 = 7,190.43 : x
  2. Step 2: Convert to fraction form
    21,230.89/31,850.86 = 7,190.43/x
  3. Step 3: Cross multiply
    21,230.89x = 31,850.86 × 7,190.43
  4. Step 4: Simplify right side
    21,230.89x = 229,021,313.12
  5. Step 5: Solve for x
    x = 229,021,313.12/21,230.89
  6. Step 6: Final answer
    x = 10,787.17

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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.