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Finding the Fourth Proportional to 21,476.44, 32,209.80 and 9,793

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Solution

The fourth proportional to 21,476.44, 32,209.80 and 9,793 is: 14,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.44 : 32,209.80 = 9,793 : x
  2. Step 2: Convert to fraction form
    21,476.44/32,209.80 = 9,793/x
  3. Step 3: Cross multiply
    21,476.44x = 32,209.80 × 9,793
  4. Step 4: Simplify right side
    21,476.44x = 315,430,571.40
  5. Step 5: Solve for x
    x = 315,430,571.40/21,476.44
  6. Step 6: Final answer
    x = 14,687.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.