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Finding the Fourth Proportional to 12,855.59, 19,286.22 and 5,466.38

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Solution

The fourth proportional to 12,855.59, 19,286.22 and 5,466.38 is: 8,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.59 : 19,286.22 = 5,466.38 : x
  2. Step 2: Convert to fraction form
    12,855.59/19,286.22 = 5,466.38/x
  3. Step 3: Cross multiply
    12,855.59x = 19,286.22 × 5,466.38
  4. Step 4: Simplify right side
    12,855.59x = 105,425,807.28
  5. Step 5: Solve for x
    x = 105,425,807.28/12,855.59
  6. Step 6: Final answer
    x = 8,200.78

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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.