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Finding the Fourth Proportional to 21,224.28, 29,290.50 and 11,793

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Solution

The fourth proportional to 21,224.28, 29,290.50 and 11,793 is: 16,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.28 : 29,290.50 = 11,793 : x
  2. Step 2: Convert to fraction form
    21,224.28/29,290.50 = 11,793/x
  3. Step 3: Cross multiply
    21,224.28x = 29,290.50 × 11,793
  4. Step 4: Simplify right side
    21,224.28x = 345,422,866.50
  5. Step 5: Solve for x
    x = 345,422,866.50/21,224.28
  6. Step 6: Final answer
    x = 16,274.89

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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.