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Finding the Fourth Proportional to 12,578.74, 18,863.40 and 3,692.24

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Solution

The fourth proportional to 12,578.74, 18,863.40 and 3,692.24 is: 5,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.74 : 18,863.40 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    12,578.74/18,863.40 = 3,692.24/x
  3. Step 3: Cross multiply
    12,578.74x = 18,863.40 × 3,692.24
  4. Step 4: Simplify right side
    12,578.74x = 69,648,200.02
  5. Step 5: Solve for x
    x = 69,648,200.02/12,578.74
  6. Step 6: Final answer
    x = 5,536.98

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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.