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Finding the Fourth Proportional to 21,302.82, 31,954.31 and 6,511.68

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Solution

The fourth proportional to 21,302.82, 31,954.31 and 6,511.68 is: 9,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.82 : 31,954.31 = 6,511.68 : x
  2. Step 2: Convert to fraction form
    21,302.82/31,954.31 = 6,511.68/x
  3. Step 3: Cross multiply
    21,302.82x = 31,954.31 × 6,511.68
  4. Step 4: Simplify right side
    21,302.82x = 208,076,049.01
  5. Step 5: Solve for x
    x = 208,076,049.01/21,302.82
  6. Step 6: Final answer
    x = 9,767.54

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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.