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Finding the Fourth Proportional to 22,684.80, 31,306.24 and 13,258.88

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Solution

The fourth proportional to 22,684.80, 31,306.24 and 13,258.88 is: 18,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.80 : 31,306.24 = 13,258.88 : x
  2. Step 2: Convert to fraction form
    22,684.80/31,306.24 = 13,258.88/x
  3. Step 3: Cross multiply
    22,684.80x = 31,306.24 × 13,258.88
  4. Step 4: Simplify right side
    22,684.80x = 415,085,679.41
  5. Step 5: Solve for x
    x = 415,085,679.41/22,684.80
  6. Step 6: Final answer
    x = 18,297.97

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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.