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Finding the Fourth Proportional to 20,573.71, 30,837.22 and 9,457.43

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Solution

The fourth proportional to 20,573.71, 30,837.22 and 9,457.43 is: 14,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.71 : 30,837.22 = 9,457.43 : x
  2. Step 2: Convert to fraction form
    20,573.71/30,837.22 = 9,457.43/x
  3. Step 3: Cross multiply
    20,573.71x = 30,837.22 × 9,457.43
  4. Step 4: Simplify right side
    20,573.71x = 291,640,849.54
  5. Step 5: Solve for x
    x = 291,640,849.54/20,573.71
  6. Step 6: Final answer
    x = 14,175.41

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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.