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Finding the Fourth Proportional to 21,129.14, 31,692.46 and 6,338.34

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Solution

The fourth proportional to 21,129.14, 31,692.46 and 6,338.34 is: 9,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.14 : 31,692.46 = 6,338.34 : x
  2. Step 2: Convert to fraction form
    21,129.14/31,692.46 = 6,338.34/x
  3. Step 3: Cross multiply
    21,129.14x = 31,692.46 × 6,338.34
  4. Step 4: Simplify right side
    21,129.14x = 200,877,586.92
  5. Step 5: Solve for x
    x = 200,877,586.92/21,129.14
  6. Step 6: Final answer
    x = 9,507.14

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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.