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Finding the Fourth Proportional to 21,308.27, 31,954.70 and 6,310.91

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Solution

The fourth proportional to 21,308.27, 31,954.70 and 6,310.91 is: 9,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.27 : 31,954.70 = 6,310.91 : x
  2. Step 2: Convert to fraction form
    21,308.27/31,954.70 = 6,310.91/x
  3. Step 3: Cross multiply
    21,308.27x = 31,954.70 × 6,310.91
  4. Step 4: Simplify right side
    21,308.27x = 201,663,331.44
  5. Step 5: Solve for x
    x = 201,663,331.44/21,308.27
  6. Step 6: Final answer
    x = 9,464.09

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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.