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Finding the Fourth Proportional to 12,052.80, 18,056.52 and 6,842.88

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Solution

The fourth proportional to 12,052.80, 18,056.52 and 6,842.88 is: 10,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.80 : 18,056.52 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    12,052.80/18,056.52 = 6,842.88/x
  3. Step 3: Cross multiply
    12,052.80x = 18,056.52 × 6,842.88
  4. Step 4: Simplify right side
    12,052.80x = 123,558,599.58
  5. Step 5: Solve for x
    x = 123,558,599.58/12,052.80
  6. Step 6: Final answer
    x = 10,251.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.