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Finding the Fourth Proportional to 21,772.26, 32,654.54 and 9,923.38

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Solution

The fourth proportional to 21,772.26, 32,654.54 and 9,923.38 is: 14,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.26 : 32,654.54 = 9,923.38 : x
  2. Step 2: Convert to fraction form
    21,772.26/32,654.54 = 9,923.38/x
  3. Step 3: Cross multiply
    21,772.26x = 32,654.54 × 9,923.38
  4. Step 4: Simplify right side
    21,772.26x = 324,043,352.32
  5. Step 5: Solve for x
    x = 324,043,352.32/21,772.26
  6. Step 6: Final answer
    x = 14,883.31

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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.