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Finding the Fourth Proportional to 18,293.94, 27,420.20 and 8,412.82

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Solution

The fourth proportional to 18,293.94, 27,420.20 and 8,412.82 is: 12,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,293.94 : 27,420.20 = 8,412.82 : x
  2. Step 2: Convert to fraction form
    18,293.94/27,420.20 = 8,412.82/x
  3. Step 3: Cross multiply
    18,293.94x = 27,420.20 × 8,412.82
  4. Step 4: Simplify right side
    18,293.94x = 230,681,206.96
  5. Step 5: Solve for x
    x = 230,681,206.96/18,293.94
  6. Step 6: Final answer
    x = 12,609.71

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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.