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Finding the Fourth Proportional to 19,494.38, 29,244 and 6,343.22

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Solution

The fourth proportional to 19,494.38, 29,244 and 6,343.22 is: 9,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.38 : 29,244 = 6,343.22 : x
  2. Step 2: Convert to fraction form
    19,494.38/29,244 = 6,343.22/x
  3. Step 3: Cross multiply
    19,494.38x = 29,244 × 6,343.22
  4. Step 4: Simplify right side
    19,494.38x = 185,501,125.68
  5. Step 5: Solve for x
    x = 185,501,125.68/19,494.38
  6. Step 6: Final answer
    x = 9,515.62

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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.