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Finding the Fourth Proportional to 16,961.34, 23,409.39 and 9,886.41

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Solution

The fourth proportional to 16,961.34, 23,409.39 and 9,886.41 is: 13,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.34 : 23,409.39 = 9,886.41 : x
  2. Step 2: Convert to fraction form
    16,961.34/23,409.39 = 9,886.41/x
  3. Step 3: Cross multiply
    16,961.34x = 23,409.39 × 9,886.41
  4. Step 4: Simplify right side
    16,961.34x = 231,434,827.39
  5. Step 5: Solve for x
    x = 231,434,827.39/16,961.34
  6. Step 6: Final answer
    x = 13,644.84

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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.