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Finding the Fourth Proportional to 12,692.84, 19,039.34 and 3,458.92

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Solution

The fourth proportional to 12,692.84, 19,039.34 and 3,458.92 is: 5,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.84 : 19,039.34 = 3,458.92 : x
  2. Step 2: Convert to fraction form
    12,692.84/19,039.34 = 3,458.92/x
  3. Step 3: Cross multiply
    12,692.84x = 19,039.34 × 3,458.92
  4. Step 4: Simplify right side
    12,692.84x = 65,855,553.91
  5. Step 5: Solve for x
    x = 65,855,553.91/12,692.84
  6. Step 6: Final answer
    x = 5,188.40

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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.