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Finding the Fourth Proportional to 21,692.21, 32,550.56 and 10,005.42

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Solution

The fourth proportional to 21,692.21, 32,550.56 and 10,005.42 is: 15,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.21 : 32,550.56 = 10,005.42 : x
  2. Step 2: Convert to fraction form
    21,692.21/32,550.56 = 10,005.42/x
  3. Step 3: Cross multiply
    21,692.21x = 32,550.56 × 10,005.42
  4. Step 4: Simplify right side
    21,692.21x = 325,682,133.59
  5. Step 5: Solve for x
    x = 325,682,133.59/21,692.21
  6. Step 6: Final answer
    x = 15,013.79

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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.