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Finding the Fourth Proportional to 16,705.14, 23,052.31 and 9,994.46

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Solution

The fourth proportional to 16,705.14, 23,052.31 and 9,994.46 is: 13,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.14 : 23,052.31 = 9,994.46 : x
  2. Step 2: Convert to fraction form
    16,705.14/23,052.31 = 9,994.46/x
  3. Step 3: Cross multiply
    16,705.14x = 23,052.31 × 9,994.46
  4. Step 4: Simplify right side
    16,705.14x = 230,395,306.17
  5. Step 5: Solve for x
    x = 230,395,306.17/16,705.14
  6. Step 6: Final answer
    x = 13,791.88

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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.