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Finding the Fourth Proportional to 12,083.76, 16,692.42 and 11,453.20

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Solution

The fourth proportional to 12,083.76, 16,692.42 and 11,453.20 is: 15,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.76 : 16,692.42 = 11,453.20 : x
  2. Step 2: Convert to fraction form
    12,083.76/16,692.42 = 11,453.20/x
  3. Step 3: Cross multiply
    12,083.76x = 16,692.42 × 11,453.20
  4. Step 4: Simplify right side
    12,083.76x = 191,181,624.74
  5. Step 5: Solve for x
    x = 191,181,624.74/12,083.76
  6. Step 6: Final answer
    x = 15,821.37

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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.