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Finding the Fourth Proportional to 22,884.91, 31,579.63 and 12,811.64

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Solution

The fourth proportional to 22,884.91, 31,579.63 and 12,811.64 is: 17,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.91 : 31,579.63 = 12,811.64 : x
  2. Step 2: Convert to fraction form
    22,884.91/31,579.63 = 12,811.64/x
  3. Step 3: Cross multiply
    22,884.91x = 31,579.63 × 12,811.64
  4. Step 4: Simplify right side
    22,884.91x = 404,586,660.97
  5. Step 5: Solve for x
    x = 404,586,660.97/22,884.91
  6. Step 6: Final answer
    x = 17,679.19

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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.