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Finding the Fourth Proportional to 16,705.64, 23,053.79 and 9,991.27

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Solution

The fourth proportional to 16,705.64, 23,053.79 and 9,991.27 is: 13,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.64 : 23,053.79 = 9,991.27 : x
  2. Step 2: Convert to fraction form
    16,705.64/23,053.79 = 9,991.27/x
  3. Step 3: Cross multiply
    16,705.64x = 23,053.79 × 9,991.27
  4. Step 4: Simplify right side
    16,705.64x = 230,336,638.01
  5. Step 5: Solve for x
    x = 230,336,638.01/16,705.64
  6. Step 6: Final answer
    x = 13,787.95

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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.