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Finding the Fourth Proportional to 16,961.30, 23,409.40 and 9,410.06

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Solution

The fourth proportional to 16,961.30, 23,409.40 and 9,410.06 is: 12,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.30 : 23,409.40 = 9,410.06 : x
  2. Step 2: Convert to fraction form
    16,961.30/23,409.40 = 9,410.06/x
  3. Step 3: Cross multiply
    16,961.30x = 23,409.40 × 9,410.06
  4. Step 4: Simplify right side
    16,961.30x = 220,283,958.08
  5. Step 5: Solve for x
    x = 220,283,958.08/16,961.30
  6. Step 6: Final answer
    x = 12,987.44

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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.