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Finding the Fourth Proportional to 16,287.46, 22,468.90 and 9,481.48

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Solution

The fourth proportional to 16,287.46, 22,468.90 and 9,481.48 is: 13,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.46 : 22,468.90 = 9,481.48 : x
  2. Step 2: Convert to fraction form
    16,287.46/22,468.90 = 9,481.48/x
  3. Step 3: Cross multiply
    16,287.46x = 22,468.90 × 9,481.48
  4. Step 4: Simplify right side
    16,287.46x = 213,038,289.92
  5. Step 5: Solve for x
    x = 213,038,289.92/16,287.46
  6. Step 6: Final answer
    x = 13,079.90

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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.