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Finding the Fourth Proportional to 20,497.41, 30,780.68 and 19,445.22

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Solution

The fourth proportional to 20,497.41, 30,780.68 and 19,445.22 is: 29,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.41 : 30,780.68 = 19,445.22 : x
  2. Step 2: Convert to fraction form
    20,497.41/30,780.68 = 19,445.22/x
  3. Step 3: Cross multiply
    20,497.41x = 30,780.68 × 19,445.22
  4. Step 4: Simplify right side
    20,497.41x = 598,536,997.12
  5. Step 5: Solve for x
    x = 598,536,997.12/20,497.41
  6. Step 6: Final answer
    x = 29,200.62

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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.