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Finding the Fourth Proportional to 18,493.80, 27,740.70 and 12,856.20

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Solution

The fourth proportional to 18,493.80, 27,740.70 and 12,856.20 is: 19,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.80 : 27,740.70 = 12,856.20 : x
  2. Step 2: Convert to fraction form
    18,493.80/27,740.70 = 12,856.20/x
  3. Step 3: Cross multiply
    18,493.80x = 27,740.70 × 12,856.20
  4. Step 4: Simplify right side
    18,493.80x = 356,639,987.34
  5. Step 5: Solve for x
    x = 356,639,987.34/18,493.80
  6. Step 6: Final answer
    x = 19,284.30

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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.