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Finding the Fourth Proportional to 21,185.72, 31,778.79 and 6,394.76

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Solution

The fourth proportional to 21,185.72, 31,778.79 and 6,394.76 is: 9,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.72 : 31,778.79 = 6,394.76 : x
  2. Step 2: Convert to fraction form
    21,185.72/31,778.79 = 6,394.76/x
  3. Step 3: Cross multiply
    21,185.72x = 31,778.79 × 6,394.76
  4. Step 4: Simplify right side
    21,185.72x = 203,217,735.14
  5. Step 5: Solve for x
    x = 203,217,735.14/21,185.72
  6. Step 6: Final answer
    x = 9,592.20

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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.