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Finding the Fourth Proportional to 20,244.72, 30,342.24 and 11,487

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Solution

The fourth proportional to 20,244.72, 30,342.24 and 11,487 is: 17,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.72 : 30,342.24 = 11,487 : x
  2. Step 2: Convert to fraction form
    20,244.72/30,342.24 = 11,487/x
  3. Step 3: Cross multiply
    20,244.72x = 30,342.24 × 11,487
  4. Step 4: Simplify right side
    20,244.72x = 348,541,310.88
  5. Step 5: Solve for x
    x = 348,541,310.88/20,244.72
  6. Step 6: Final answer
    x = 17,216.41

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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.