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Finding the Fourth Proportional to 22,684.74, 31,310.22 and 13,258.80

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Solution

The fourth proportional to 22,684.74, 31,310.22 and 13,258.80 is: 18,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.74 : 31,310.22 = 13,258.80 : x
  2. Step 2: Convert to fraction form
    22,684.74/31,310.22 = 13,258.80/x
  3. Step 3: Cross multiply
    22,684.74x = 31,310.22 × 13,258.80
  4. Step 4: Simplify right side
    22,684.74x = 415,135,944.94
  5. Step 5: Solve for x
    x = 415,135,944.94/22,684.74
  6. Step 6: Final answer
    x = 18,300.23

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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.