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Finding the Fourth Proportional to 22,339.60, 30,828.42 and 12,268

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Solution

The fourth proportional to 22,339.60, 30,828.42 and 12,268 is: 16,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.60 : 30,828.42 = 12,268 : x
  2. Step 2: Convert to fraction form
    22,339.60/30,828.42 = 12,268/x
  3. Step 3: Cross multiply
    22,339.60x = 30,828.42 × 12,268
  4. Step 4: Simplify right side
    22,339.60x = 378,203,056.56
  5. Step 5: Solve for x
    x = 378,203,056.56/22,339.60
  6. Step 6: Final answer
    x = 16,929.71

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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.