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Finding the Fourth Proportional to 16,178.94, 22,331.16 and 9,896.58

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Solution

The fourth proportional to 16,178.94, 22,331.16 and 9,896.58 is: 13,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.94 : 22,331.16 = 9,896.58 : x
  2. Step 2: Convert to fraction form
    16,178.94/22,331.16 = 9,896.58/x
  3. Step 3: Cross multiply
    16,178.94x = 22,331.16 × 9,896.58
  4. Step 4: Simplify right side
    16,178.94x = 221,002,111.43
  5. Step 5: Solve for x
    x = 221,002,111.43/16,178.94
  6. Step 6: Final answer
    x = 13,659.86

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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.