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Finding the Fourth Proportional to 16,843.37, 23,242.77 and 9,289.31

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Solution

The fourth proportional to 16,843.37, 23,242.77 and 9,289.31 is: 12,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.37 : 23,242.77 = 9,289.31 : x
  2. Step 2: Convert to fraction form
    16,843.37/23,242.77 = 9,289.31/x
  3. Step 3: Cross multiply
    16,843.37x = 23,242.77 × 9,289.31
  4. Step 4: Simplify right side
    16,843.37x = 215,909,179.57
  5. Step 5: Solve for x
    x = 215,909,179.57/16,843.37
  6. Step 6: Final answer
    x = 12,818.65

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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.