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Finding the Fourth Proportional to 12,580.82, 18,871.50 and 3,815.72

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Solution

The fourth proportional to 12,580.82, 18,871.50 and 3,815.72 is: 5,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.82 : 18,871.50 = 3,815.72 : x
  2. Step 2: Convert to fraction form
    12,580.82/18,871.50 = 3,815.72/x
  3. Step 3: Cross multiply
    12,580.82x = 18,871.50 × 3,815.72
  4. Step 4: Simplify right side
    12,580.82x = 72,008,359.98
  5. Step 5: Solve for x
    x = 72,008,359.98/12,580.82
  6. Step 6: Final answer
    x = 5,723.66

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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.