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Finding the Fourth Proportional to 16,980.54, 23,434.31 and 9,811.73

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Solution

The fourth proportional to 16,980.54, 23,434.31 and 9,811.73 is: 13,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.54 : 23,434.31 = 9,811.73 : x
  2. Step 2: Convert to fraction form
    16,980.54/23,434.31 = 9,811.73/x
  3. Step 3: Cross multiply
    16,980.54x = 23,434.31 × 9,811.73
  4. Step 4: Simplify right side
    16,980.54x = 229,931,205.57
  5. Step 5: Solve for x
    x = 229,931,205.57/16,980.54
  6. Step 6: Final answer
    x = 13,540.87

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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.