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Finding the Fourth Proportional to 13,562.82, 18,723.69 and 9,363.78

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Solution

The fourth proportional to 13,562.82, 18,723.69 and 9,363.78 is: 12,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.82 : 18,723.69 = 9,363.78 : x
  2. Step 2: Convert to fraction form
    13,562.82/18,723.69 = 9,363.78/x
  3. Step 3: Cross multiply
    13,562.82x = 18,723.69 × 9,363.78
  4. Step 4: Simplify right side
    13,562.82x = 175,324,513.95
  5. Step 5: Solve for x
    x = 175,324,513.95/13,562.82
  6. Step 6: Final answer
    x = 12,926.85

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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.