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Finding the Fourth Proportional to 16,611.84, 22,924.62 and 9,538.20

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Solution

The fourth proportional to 16,611.84, 22,924.62 and 9,538.20 is: 13,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611.84 : 22,924.62 = 9,538.20 : x
  2. Step 2: Convert to fraction form
    16,611.84/22,924.62 = 9,538.20/x
  3. Step 3: Cross multiply
    16,611.84x = 22,924.62 × 9,538.20
  4. Step 4: Simplify right side
    16,611.84x = 218,659,610.48
  5. Step 5: Solve for x
    x = 218,659,610.48/16,611.84
  6. Step 6: Final answer
    x = 13,162.88

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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.