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Finding the Fourth Proportional to 12,578.42, 18,859.35 and 7,039.94

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Solution

The fourth proportional to 12,578.42, 18,859.35 and 7,039.94 is: 10,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.42 : 18,859.35 = 7,039.94 : x
  2. Step 2: Convert to fraction form
    12,578.42/18,859.35 = 7,039.94/x
  3. Step 3: Cross multiply
    12,578.42x = 18,859.35 × 7,039.94
  4. Step 4: Simplify right side
    12,578.42x = 132,768,692.44
  5. Step 5: Solve for x
    x = 132,768,692.44/12,578.42
  6. Step 6: Final answer
    x = 10,555.28

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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.