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Finding the Fourth Proportional to 12,461.94, 18,692.82 and 4,142.58

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Solution

The fourth proportional to 12,461.94, 18,692.82 and 4,142.58 is: 6,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.94 : 18,692.82 = 4,142.58 : x
  2. Step 2: Convert to fraction form
    12,461.94/18,692.82 = 4,142.58/x
  3. Step 3: Cross multiply
    12,461.94x = 18,692.82 × 4,142.58
  4. Step 4: Simplify right side
    12,461.94x = 77,436,502.28
  5. Step 5: Solve for x
    x = 77,436,502.28/12,461.94
  6. Step 6: Final answer
    x = 6,213.84

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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.