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Finding the Fourth Proportional to 21,162.94, 31,759.02 and 7,311.94

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Solution

The fourth proportional to 21,162.94, 31,759.02 and 7,311.94 is: 10,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.94 : 31,759.02 = 7,311.94 : x
  2. Step 2: Convert to fraction form
    21,162.94/31,759.02 = 7,311.94/x
  3. Step 3: Cross multiply
    21,162.94x = 31,759.02 × 7,311.94
  4. Step 4: Simplify right side
    21,162.94x = 232,219,969.30
  5. Step 5: Solve for x
    x = 232,219,969.30/21,162.94
  6. Step 6: Final answer
    x = 10,972.96

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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.