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Finding the Fourth Proportional to 16,843.52, 23,243.82 and 9,771.14

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Solution

The fourth proportional to 16,843.52, 23,243.82 and 9,771.14 is: 13,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.52 : 23,243.82 = 9,771.14 : x
  2. Step 2: Convert to fraction form
    16,843.52/23,243.82 = 9,771.14/x
  3. Step 3: Cross multiply
    16,843.52x = 23,243.82 × 9,771.14
  4. Step 4: Simplify right side
    16,843.52x = 227,118,619.35
  5. Step 5: Solve for x
    x = 227,118,619.35/16,843.52
  6. Step 6: Final answer
    x = 13,484.04

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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.