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Finding the Fourth Proportional to 21,096.33, 31,636.94 and 6,302.49

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Solution

The fourth proportional to 21,096.33, 31,636.94 and 6,302.49 is: 9,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.33 : 31,636.94 = 6,302.49 : x
  2. Step 2: Convert to fraction form
    21,096.33/31,636.94 = 6,302.49/x
  3. Step 3: Cross multiply
    21,096.33x = 31,636.94 × 6,302.49
  4. Step 4: Simplify right side
    21,096.33x = 199,391,466.47
  5. Step 5: Solve for x
    x = 199,391,466.47/21,096.33
  6. Step 6: Final answer
    x = 9,451.48

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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.