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Finding the Fourth Proportional to 12,692.72, 19,038.36 and 3,458

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Solution

The fourth proportional to 12,692.72, 19,038.36 and 3,458 is: 5,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.72 : 19,038.36 = 3,458 : x
  2. Step 2: Convert to fraction form
    12,692.72/19,038.36 = 3,458/x
  3. Step 3: Cross multiply
    12,692.72x = 19,038.36 × 3,458
  4. Step 4: Simplify right side
    12,692.72x = 65,834,648.88
  5. Step 5: Solve for x
    x = 65,834,648.88/12,692.72
  6. Step 6: Final answer
    x = 5,186.80

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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.