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Finding the Fourth Proportional to 14,630.28, 21,945.96 and 6,837

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Solution

The fourth proportional to 14,630.28, 21,945.96 and 6,837 is: 10,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.28 : 21,945.96 = 6,837 : x
  2. Step 2: Convert to fraction form
    14,630.28/21,945.96 = 6,837/x
  3. Step 3: Cross multiply
    14,630.28x = 21,945.96 × 6,837
  4. Step 4: Simplify right side
    14,630.28x = 150,044,528.52
  5. Step 5: Solve for x
    x = 150,044,528.52/14,630.28
  6. Step 6: Final answer
    x = 10,255.75

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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.