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Finding the Fourth Proportional to 21,299.30, 31,948.94 and 5,716.92

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Solution

The fourth proportional to 21,299.30, 31,948.94 and 5,716.92 is: 8,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.30 : 31,948.94 = 5,716.92 : x
  2. Step 2: Convert to fraction form
    21,299.30/31,948.94 = 5,716.92/x
  3. Step 3: Cross multiply
    21,299.30x = 31,948.94 × 5,716.92
  4. Step 4: Simplify right side
    21,299.30x = 182,649,505.48
  5. Step 5: Solve for x
    x = 182,649,505.48/21,299.30
  6. Step 6: Final answer
    x = 8,575.38

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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.