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Finding the Fourth Proportional to 21,509.28, 29,692.04 and 20,164.28

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Solution

The fourth proportional to 21,509.28, 29,692.04 and 20,164.28 is: 27,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.28 : 29,692.04 = 20,164.28 : x
  2. Step 2: Convert to fraction form
    21,509.28/29,692.04 = 20,164.28/x
  3. Step 3: Cross multiply
    21,509.28x = 29,692.04 × 20,164.28
  4. Step 4: Simplify right side
    21,509.28x = 598,718,359.05
  5. Step 5: Solve for x
    x = 598,718,359.05/21,509.28
  6. Step 6: Final answer
    x = 27,835.35

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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.