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Finding the Fourth Proportional to 21,132.14, 31,696.96 and 6,341.33

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Solution

The fourth proportional to 21,132.14, 31,696.96 and 6,341.33 is: 9,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.14 : 31,696.96 = 6,341.33 : x
  2. Step 2: Convert to fraction form
    21,132.14/31,696.96 = 6,341.33/x
  3. Step 3: Cross multiply
    21,132.14x = 31,696.96 × 6,341.33
  4. Step 4: Simplify right side
    21,132.14x = 201,000,883.36
  5. Step 5: Solve for x
    x = 201,000,883.36/21,132.14
  6. Step 6: Final answer
    x = 9,511.62

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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.