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Finding the Fourth Proportional to 16,961.40, 23,405.00 and 9,405.77

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Solution

The fourth proportional to 16,961.40, 23,405.00 and 9,405.77 is: 12,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.40 : 23,405.00 = 9,405.77 : x
  2. Step 2: Convert to fraction form
    16,961.40/23,405.00 = 9,405.77/x
  3. Step 3: Cross multiply
    16,961.40x = 23,405.00 × 9,405.77
  4. Step 4: Simplify right side
    16,961.40x = 220,142,067.36
  5. Step 5: Solve for x
    x = 220,142,067.36/16,961.40
  6. Step 6: Final answer
    x = 12,979.00

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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.