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Finding the Fourth Proportional to 12,692.88, 19,047.56 and 5,677.20

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Solution

The fourth proportional to 12,692.88, 19,047.56 and 5,677.20 is: 8,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.88 : 19,047.56 = 5,677.20 : x
  2. Step 2: Convert to fraction form
    12,692.88/19,047.56 = 5,677.20/x
  3. Step 3: Cross multiply
    12,692.88x = 19,047.56 × 5,677.20
  4. Step 4: Simplify right side
    12,692.88x = 108,136,779.25
  5. Step 5: Solve for x
    x = 108,136,779.25/12,692.88
  6. Step 6: Final answer
    x = 8,519.48

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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.