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Finding the Fourth Proportional to 14,353.28, 21,529.88 and 3,965

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Solution

The fourth proportional to 14,353.28, 21,529.88 and 3,965 is: 5,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.28 : 21,529.88 = 3,965 : x
  2. Step 2: Convert to fraction form
    14,353.28/21,529.88 = 3,965/x
  3. Step 3: Cross multiply
    14,353.28x = 21,529.88 × 3,965
  4. Step 4: Simplify right side
    14,353.28x = 85,365,974.20
  5. Step 5: Solve for x
    x = 85,365,974.20/14,353.28
  6. Step 6: Final answer
    x = 5,947.49

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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.