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Finding the Fourth Proportional to 21,199.38, 31,799.68 and 5,617

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Solution

The fourth proportional to 21,199.38, 31,799.68 and 5,617 is: 8,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.38 : 31,799.68 = 5,617 : x
  2. Step 2: Convert to fraction form
    21,199.38/31,799.68 = 5,617/x
  3. Step 3: Cross multiply
    21,199.38x = 31,799.68 × 5,617
  4. Step 4: Simplify right side
    21,199.38x = 178,618,802.56
  5. Step 5: Solve for x
    x = 178,618,802.56/21,199.38
  6. Step 6: Final answer
    x = 8,425.66

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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.