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Finding the Fourth Proportional to 12,814.82, 17,692.68 and 8,041.33

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Solution

The fourth proportional to 12,814.82, 17,692.68 and 8,041.33 is: 11,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.82 : 17,692.68 = 8,041.33 : x
  2. Step 2: Convert to fraction form
    12,814.82/17,692.68 = 8,041.33/x
  3. Step 3: Cross multiply
    12,814.82x = 17,692.68 × 8,041.33
  4. Step 4: Simplify right side
    12,814.82x = 142,272,585.98
  5. Step 5: Solve for x
    x = 142,272,585.98/12,814.82
  6. Step 6: Final answer
    x = 11,102.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.