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Finding the Fourth Proportional to 14,182.94, 21,272.78 and 3,795.50

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Solution

The fourth proportional to 14,182.94, 21,272.78 and 3,795.50 is: 5,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.94 : 21,272.78 = 3,795.50 : x
  2. Step 2: Convert to fraction form
    14,182.94/21,272.78 = 3,795.50/x
  3. Step 3: Cross multiply
    14,182.94x = 21,272.78 × 3,795.50
  4. Step 4: Simplify right side
    14,182.94x = 80,740,739.61
  5. Step 5: Solve for x
    x = 80,740,739.61/14,182.94
  6. Step 6: Final answer
    x = 5,692.81

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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.