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Finding the Fourth Proportional to 16,478.73, 22,738.46 and 9,308.61

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Solution

The fourth proportional to 16,478.73, 22,738.46 and 9,308.61 is: 12,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.73 : 22,738.46 = 9,308.61 : x
  2. Step 2: Convert to fraction form
    16,478.73/22,738.46 = 9,308.61/x
  3. Step 3: Cross multiply
    16,478.73x = 22,738.46 × 9,308.61
  4. Step 4: Simplify right side
    16,478.73x = 211,663,409.60
  5. Step 5: Solve for x
    x = 211,663,409.60/16,478.73
  6. Step 6: Final answer
    x = 12,844.64

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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.