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Finding the Fourth Proportional to 17,549.78, 24,215.90 and 9,996.26

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Solution

The fourth proportional to 17,549.78, 24,215.90 and 9,996.26 is: 13,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.78 : 24,215.90 = 9,996.26 : x
  2. Step 2: Convert to fraction form
    17,549.78/24,215.90 = 9,996.26/x
  3. Step 3: Cross multiply
    17,549.78x = 24,215.90 × 9,996.26
  4. Step 4: Simplify right side
    17,549.78x = 242,068,453.92
  5. Step 5: Solve for x
    x = 242,068,453.92/17,549.78
  6. Step 6: Final answer
    x = 13,793.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.